Prime p₀= 957052029179044187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 166 2 52 2 16 2 28 2 76 2 (?)
a_n: 0 2 72 74 240 242 294 296 312 314 342 344 420 422
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: 422
Found by: GLeeM
db: batch=76, k=14, 70 166 52 16 28 76

SPT(16)	957051408671057969	0 2 8 20 38 42 48 78 92 122 128 132 150 162 168 170	-620507986218
TPT(14)	957051662112575801	0 2 90 92 126 128 156 158 210 212 336 338 366 368	-367066468386
STPT(10)	957051669975525491	0 2 6 8 48 50 90 92 96 98	-359203518696
STPT(10)	957051772132676819	0 2 18 20 30 32 42 44 60 62	-257046367368
STPT(10)	957051826755813947	0 2 30 32 72 74 114 116 144 146	-202423230240
SPT(16)	957051862015921981	0 18 22 82 102 112 178 180 280 282 348 358 378 438 442 460	-167163122206
STPT(10)	957052037437914701	0 2 6 8 48 50 90 92 96 98	8258870514
SPT(16)	957052344318892387	0 46 54 90 100 172 180 184 282 286 294 366 376 412 420 466	315139848200
SPT(16)	957052870398746479	0 64 70 78 114 120 168 172 180 184 232 238 274 282 288 352	841219702292
STPT(10)	957052962983730029	0 2 18 20 30 32 42 44 60 62	933804685842
SPT(20)	957053279000040713	0 18 108 134 140 150 170 176 186 194 210 218 228 234 254 264 270 296 386 404	1249820996526