Prime p₀= 1200651790999275497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 64 2 28 2 28 2 22 2 (?)
a_n: 0 2 42 44 84 86 150 152 180 182 210 212 234 236
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: 236
Found by: Theadalus
db: batch=77, k=14, 40 40 64 28 28 22

SPT(16)	1200650600299467431	0 6 8 20 48 60 80 158 258 336 356 368 396 408 410 416	-1190699808066
SPT(16)	1200650904936202229	0 20 24 72 80 110 144 198 224 278 312 342 350 398 402 422	-886063073268
SPT(16)	1200651121508933489	0 30 42 62 80 108 110 150 152 192 194 222 240 260 272 302	-669490342008
SPT(16)	1200651373084778123	0 26 48 54 68 90 98 120 194 216 224 246 260 266 288 314	-417914497374
STPT(10)	1200651676921628717	0 2 30 32 60 62 90 92 120 122	-114077646780
STPT(10)	1200651680476057499	0 2 18 20 30 32 42 44 60 62	-110523217998
SPT(20)	1200652219843813651	0 46 78 88 90 96 106 126 172 238 270 336 382 402 412 418 420 430 462 508	428844538154
STPT(10)	1200652746736594421	0 2 6 8 48 50 90 92 96 98	955737318924
SPT(16)	1200652975938815171	0 2 38 92 128 198 212 218 240 246 260 330 366 420 456 458	1184939539674
STPT(10)	1200653283998415857	0 2 30 32 42 44 54 56 84 86	1492999140360
STPT(10)	1200653676669502379	0 2 18 20 30 32 42 44 60 62	1885670226882