Prime p₀= 1270490764359367247 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 40 2 16 2 76 2 88 2 (?)
a_n: 0 2 30 32 72 74 114 116 132 134 210 212 300 302
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: 302
Found by: Megacruncher
db: batch=77, k=14, 28 40 40 16 76 88

STPT(10)	1270488902324858759	0 2 12 14 90 92 168 170 180 182	-1862034508488
SPT(16)	1270489162476074221	0 10 18 22 30 36 76 88 90 102 142 148 156 160 168 178	-1601883293026
SPT(16)	1270489244085662771	0 8 60 66 80 150 170 176 192 198 218 288 302 308 360 368	-1520273704476
STPT(10)	1270489445949659951	0 2 30 32 138 140 246 248 276 278	-1318409707296
SPT(16)	1270490092440784679	0 14 50 78 210 230 308 314 318 324 402 422 554 582 618 632	-671918582568
SPT(16)	1270490400573173671	0 16 22 30 78 90 126 168 190 232 268 280 328 336 342 358	-363786193576
STPT(10)	1270490803156897547	0 2 30 32 42 44 54 56 84 86	38797530300
SPT(16)	1270491636216759287	0 50 62 116 140 162 206 216 470 480 524 546 570 624 636 686	871857392040
SPT(16)	1270491782040126577	0 12 94 96 114 150 172 180 196 204 226 262 280 282 364 376	1017680759330
STPT(10)	1270492043269911767	0 2 30 32 42 44 54 56 84 86	1278910544520
STPT(10)	1270492101546435809	0 2 18 20 30 32 42 44 60 62	1337187068562