As a point of reference, here are the receiving yards by position during the Belichek era, as well as percentage of yards by position for those years.
2013:
380 receptions (4th) for 4,343 yards (10th)
WR: 2,858 yards (66%); 243 receptions (64%)
TE: 744 yards (17%); 53 receptions (14%)
RB: 741 yards (17%); 84 receptions (22%)
39/592/4 - Gronkowski
12/136/1 - Hoomanawanui
2/16/1 --- Mulligan
2012:
402 receptions (5th) for 4,844 yards (4th)
WR: 2,708 yards (56%); 230 receptions (57%)
TE: 1,479 yards (31%); 116 receptions (29%)
RB: 657 yards (14%); 56 receptions (14%)
55/790/11 - Gronkowski
51/483/5 -- Hernandez
5/109/0 --- Hoomanawanui
4/85/0 ---- Fells
1/12/0 ---- Winslow
2011:
402 receptions (3rd) for 5,257 yards (2nd)
WR: 2,657 yards (51%); 196 receptions (49%)
TE: 2,237 yards (43%); 169 receptions (42%)
RB: 363 yards (7%); 37 receptions (9%)
90/1327/17 - Gronkowski
79/910/7 --- Hernandez
2010:
331 receptions (16th) for 4,022 yards (10th)
WR: 2,252 yards (56%); 177 receptions (53%)
TE: 1,161 yards (29%); 93 receptions (28%)
RB: 609 yards (15%); 61 receptions (18%)
42/546/10 - Gronkowski
45/563/6 -- Hernandez
6/52/2 ---- Crumpler
2009:
390 receptions (4th) for 4,540 yards (3rd)
WR: 3,386 yards (75%); 273 receptions (70%)
TE: 546 yards (12%); 43 receptions (11%)
RB: 608 yards (13%); 74 receptions (19%)
29/404/5 - Watson
14/142/2 - Baker
2008:
339 receptions (10th) for 3,790 yards (10th)
WR: 2,745 yards (72%); 227 receptions (67%)
TE: 302 yards (8%); 31 receptions (9%)
RB: 743 yards (20%); 81 receptions (24%)
22/209/2 - Watson
9/93/0 --- Thomas
2007:
403 receptions (2nd) for 4,859 yards (1st)
WR: 3,814 yards (78%); 292 receptions (72%)
TE: 462 yards (10%); 49 receptions (12%)
RB: 583 yards (12%); 62 receptions (15%)
36/389/6 - Watson
9/70/2 --- Brady
4/3/2 ---- Thomas, Vrabel, Mankins
2006:
326 receptions (11th) for 3,590 yards (11th)
WR: 1,798 yards (50%); 156 receptions (48%)
TE: 1,037 yards (29%); 81 receptions (25%)
RB: 755 yards (21%); 89 receptions (27%)
49/643/3 - Watson
21/235/2 - Graham
11/159/1 - Thomas
2005:
352 receptions (6th) for 4,322 yards (3rd)
WR: 2,823 yards (65%); 211 receptions (60%)
TE: 738 yards (17%); 57 receptions (16%)
RB: 761 yards (18%); 84 receptions (24%)
29/441/4 - Watson
16/235/3 - Graham
8/57/2 --- Fauria
4/5/4 ---- Vrabel, Ashworth
2004:
293 receptions (20th) for 3,750 yards (13th)
WR: 2,486 yards (66%); 162 receptions (55%)
TE: 689 yards (18%); 61 receptions (21%)
RB: 575 yards (15%); 70 receptions (24%)
30/364/7 - Graham
16/195/2 - Fauria
8/93/0 --- Weaver
7/37/2 --- Klecko, Vrabel, Watson
2003:
320 receptions (8th) for 3,651 yards (8th)
WR: 2,278 yards (62%); 166 receptions (52%)
TE: 694 yards (19%); 66 receptions (21%)
RB: 679 yards (19%); 88 receptions (27%)
38/409/4 - Graham
28/285/2 - Fauria
1/0/0 ---- Andruzzi
2002:
374 receptions (5th) for 3,767 yards (11th)
WR: 2,428 yards (64%); 222 receptions (59%)
TE: 516 yards (14%); 59 receptions (16%)
RB: 823 yards (22%); 93 receptions (25%)
27/253/7 - Fauria
15/150/1 - Graham
16/112/1 - Cleeland
1/1/1 ---- Vrabel
2001:
306 receptions (20th) for 3,326 yards (22nd)
WR: 2,383 yards (72%); 192 receptions (63%)
TE: 175 yards (5%); 20 receptions (7%)
RB: 745 yards (22%); 93 receptions (30%)
14/133/4 - Wiggins
5/35/0 --- Rutledge
1/7/0 ---- Bryan Cox
2000:
328 receptions (12th) for 3,461 yards (19th)
WR: 2,289 yards (66%); 188 receptions (57%)
TE: 458 yards (13%); 51 receptions (16%)
RB: 714 yards (21%); 89 receptions (27%)
20/152/2 - Eric Bjornson
16/203/1 - Jermaine Wiggins
15/103/1 - Rod Rutledge