Prime p₀= 1097275204377248471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 10 2 118 2 148 2 16 2 (?)
a_n: 0 2 78 80 108 110 120 122 240 242 390 392 408 410
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: 410
Found by: stoneageman
db: batch=76, k=14, 76 28 10 118 148 16

SPT(20)	1097274582800704229	0 8 20 42 78 84 110 158 210 218 234 242 294 342 368 374 410 432 444 452	-621576544242
TPT(14)	1097274779769317621	0 2 36 38 90 92 108 110 168 170 288 290 330 332	-424607930850
SPT(16)	1097274944991889883	0 38 120 128 134 168 198 206 258 266 296 330 336 344 426 464	-259385358588
TPT(14)	1097275052780544269	0 2 30 32 60 62 132 134 162 164 300 302 372 374	-151596704202
STPT(10)	1097275071338155709	0 2 18 20 30 32 42 44 60 62	-133039092762
SPT(16)	1097275157693115391	0 28 30 40 82 90 118 132 196 210 238 246 288 298 300 328	-46684133080
SPT(16)	1097275265718983749	0 12 40 100 114 144 184 250 282 348 388 418 432 492 520 532	61341735278
STPT(10)	1097275529385760391	0 2 6 8 18 20 30 32 36 38	325008511920
SPT(16)	1097275619386335349	0 58 60 78 88 102 154 202 240 288 340 354 364 382 384 442	415009086878
STPT(10)	1097276062537001729	0 2 48 50 90 92 132 134 180 182	858159753258
STPT(10)	1097276198816198717	0 2 30 32 42 44 54 56 84 86	994438950246