Prime p₀= 2050711366236521951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 76 2 22 2 94 2 70 2 10 2 (?)
a_n: 0 2 138 140 216 218 240 242 336 338 408 410 420 422
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: Landjunge
db: batch=80, k=14, 136 76 22 94 70 10

SPT(16)	2050709746579057397	0 26 32 84 86 92 114 116 120 122 144 150 152 204 210 236	-1619657464554
SPT(16)	2050710748577760109	0 24 40 60 64 88 154 222 280 348 414 438 442 462 478 502	-617658761842
TPT(14)	2050710771850274531	0 2 30 32 48 50 138 140 228 230 258 260 306 308	-594386247420
SPT(18)	2050710845597989789	0 90 118 130 148 210 250 264 298 330 364 378 418 480 498 510 538 628	-520638532162
SPT(16)	2050710956501621779	0 10 18 24 78 94 112 144 148 180 198 214 268 274 282 292	-409734900172
STPT(10)	2050711118927468519	0 2 18 20 30 32 42 44 60 62	-247309053432
STPT(10)	2050711554228371777	0 2 12 14 42 44 72 74 84 86	187991849826
SPT(16)	2050711720396499911	0 6 22 60 72 106 126 130 132 136 156 190 202 240 256 262	354159977960
SPT(16)	2050712563441153919	0 24 30 42 74 102 114 132 140 158 170 198 230 242 248 272	1197204631968
SPT(16)	2050712847352010497	0 24 34 40 42 52 64 90 166 192 204 214 216 222 232 256	1481115488546
SPT(16)	2050712876301170227	0 4 6 54 112 130 144 150 196 202 216 234 292 340 342 346	1510064648276