Prime p₀= 1538965462663330769 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 10 2 16 2 40 2 4 2 28 2 (?)
a_n: 0 2 60 62 72 74 90 92 132 134 138 140 168 170
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: 170
Found by: biodoc
db: batch=78, k=14, 58 10 16 40 4 28

TPT(14)	1538963974151190071	0 2 6 8 36 38 60 62 168 170 198 200 216 218	-1488512140698
SPT(16)	1538964042813832429	0 4 64 78 112 142 148 172 240 264 270 300 334 348 408 412	-1419849498340
SPT(16)	1538964878049577907	0 12 32 92 134 144 152 186 200 234 242 252 294 354 374 386	-584613752862
SPT(16)	1538965035293673409	0 4 30 52 60 160 220 232 240 252 312 412 420 442 468 472	-427369657360
SPT(16)	1538965174027481633	0 20 54 108 144 164 180 200 384 404 420 440 476 530 564 584	-288635849136
STPT(10)	1538965324319392757	0 2 60 62 72 74 84 86 144 146	-138343938012
STPT(10)	1538966078738134139	0 2 18 20 30 32 42 44 60 62	616074803370
STPT(10)	1538966153818728329	0 2 30 32 60 62 90 92 120 122	691155397560
SPT(16)	1538966271593460497	0 6 20 36 60 90 132 144 242 254 296 326 350 366 380 386	808930129728
SPT(16)	1538966619709278091	0 16 30 40 48 66 82 96 112 126 142 160 168 178 192 208	1157045947322
STPT(10)	1538967152492957189	0 2 30 32 60 62 90 92 120 122	1689829626420