Prime p₀= 2274852106855416131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 58 2 40 2 16 2 40 2 46 2 (?)
a_n: 0 2 36 38 96 98 138 140 156 158 198 200 246 248
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: 248
Found by: Landjunge
db: batch=81, k=14, 34 58 40 16 40 46

STPT(10)	2274851085069860621	0 2 36 38 78 80 120 122 156 158	-1021785555510
STPT(10)	2274851497999523381	0 2 30 32 168 170 306 308 336 338	-608855892750
SPT(16)	2274851564942607367	0 66 70 72 100 124 136 156 190 210 222 246 274 276 280 346	-541912808764
SPT(16)	2274851637480895723	0 64 126 210 216 246 258 264 280 286 298 328 334 418 480 544	-469374520408
SPT(16)	2274851699845698697	0 16 36 64 114 124 142 174 352 384 402 412 462 490 510 526	-407009717434
SPT(16)	2274852072894765181	0 6 48 70 76 88 102 108 160 166 180 192 198 220 262 268	-33960650950
SPT(16)	2274852226778934487	0 16 24 46 72 90 100 102 124 126 136 154 180 202 210 226	119923518356
SPT(20)	2274852315170925109	0 12 48 70 90 120 132 198 208 222 310 324 334 400 412 442 462 484 520 532	208315508978
TPT(14)	2274852809157840797	0 2 30 32 42 44 72 74 174 176 222 224 240 242	702302424666
STPT(10)	2274853261460850617	0 2 30 32 42 44 54 56 84 86	1154605434486
SPT(16)	2274853300089980461	0 18 40 60 66 90 106 118 180 192 208 232 238 258 280 298	1193234564330