Prime p₀= 1030856123003033387 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 28 2 148 2 28 2 22 2 (?)
a_n: 0 2 12 14 30 32 60 62 210 212 240 242 264 266
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: 266
Found by: arkiss
db: batch=76, k=14, 10 16 28 148 28 22

SPT(20)	1030855128986465063	0 66 68 120 168 228 248 264 266 296 318 348 350 366 386 446 494 546 548 614	-994016568324
SPT(16)	1030855162701929321	0 30 60 96 110 138 228 240 248 260 350 378 392 428 458 488	-960301104066
SPT(16)	1030855302413924497	0 4 24 30 46 52 70 82 144 156 174 180 196 202 222 226	-820589108890
STPT(10)	1030855359921977669	0 2 48 50 60 62 72 74 120 122	-763081055718
SPT(16)	1030855633591322641	0 16 42 70 76 82 120 156 172 208 246 252 258 286 312 328	-489411710746
SPT(16)	1030855903653963091	0 46 102 106 112 150 168 172 276 280 298 336 342 346 402 448	-219349070296
SPT(16)	1030856344769058281	0 62 80 92 110 132 168 182 258 272 308 330 348 360 378 440	221766024894
STPT(10)	1030856448514660679	0 2 18 20 30 32 42 44 60 62	325511627292
SPT(16)	1030856636000248843	0 34 36 60 70 88 144 148 216 220 276 294 304 328 330 364	512997215456
STPT(10)	1030856892487507817	0 2 30 32 42 44 54 56 84 86	769484474430
SPT(16)	1030856959330783709	0 18 42 80 90 104 218 222 230 234 348 362 372 410 434 452	836327750322