Prime p₀= 2607702901436719631 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 106 2 70 2 4 2 52 2 34 2 70 2 (?)
a_n: 0 2 108 110 180 182 186 188 240 242 276 278 348 350
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: 350
Found by: paulteo
db: batch=82, k=14, 106 70 4 52 34 70

STPT(10)	2607701469347661227	0 2 30 32 72 74 114 116 144 146	-1432089058404
SPT(16)	2607701878162411973	0 38 98 104 140 158 210 290 354 434 486 504 540 546 606 644	-1023274307658
STPT(10)	2607702272582627147	0 2 54 56 72 74 90 92 144 146	-628854092484
SPT(16)	2607702512472208421	0 12 48 56 62 102 180 188 210 218 296 336 342 350 386 398	-388964511210
STPT(10)	2607702514527416429	0 2 12 14 30 32 48 50 60 62	-386909303202
SPT(16)	2607702693633057121	0 22 66 76 90 136 138 148 210 220 222 268 282 292 336 358	-207803662510
STPT(10)	2607702984763163039	0 2 18 20 30 32 42 44 60 62	83326443408
STPT(10)	2607703426827777329	0 2 18 20 60 62 102 104 120 122	525391057698
SPT(16)	2607703808046943751	0 36 56 80 96 168 182 260 378 456 470 542 558 582 602 638	906610224120
SPT(16)	2607704188771194859	0 10 22 48 54 64 82 108 124 150 168 178 184 210 222 232	1287334475228
STPT(10)	2607704440642482287	0 2 30 32 42 44 54 56 84 86	1539205762656