Prime p₀= 2785103793417218561 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 30 32 36 38 66 68 78 80 96 98 120 122
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 28 4 28 10 16 22

SPT(16)	2785102323338095711	0 10 40 60 82 112 178 210 220 252 318 348 370 390 420 430	-1470079122850
SPT(16)	2785102655354244241	0 18 70 78 102 132 136 148 300 312 316 346 370 378 430 448	-1138062974320
SPT(16)	2785102861937989561	0 12 40 42 82 90 100 106 132 138 148 156 196 198 226 238	-931479229000
SPT(16)	2785102881654188959	0 30 54 58 138 160 184 210 292 318 342 364 444 448 472 502	-911763029602
STPT(10)	2785103289531026237	0 2 54 56 72 74 90 92 144 146	-503886192324
STPT(10)	2785103395580843297	0 2 30 32 120 122 210 212 240 242	-397836375264
SPT(16)	2785103828183853313	0 40 48 88 100 124 148 216 238 306 330 354 366 406 414 454	34766634752
TPT(14)	2785103925382568927	0 2 12 14 42 44 54 56 60 62 102 104 144 146	131965350366
SPT(16)	2785104176543678161	0 16 18 118 132 148 156 198 340 382 390 406 420 520 522 538	383126459600
SPT(16)	2785104276313506229	0 60 70 84 108 118 210 220 228 238 330 340 364 378 388 448	482896287668
STPT(10)	2785105189381300967	0 2 24 26 42 44 60 62 84 86	1395964082406