Prime p₀= 988944296265237281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 22 2 76 2 10 2 (?)
a_n: 0 2 6 8 90 92 156 158 180 182 258 260 270 272
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: 272
Found by: stoneageman
db: batch=76, k=14, 4 82 64 22 76 10

SPT(16)	988942603416617783	0 20 44 48 98 140 176 206 348 378 414 456 506 510 534 554	-1692848619498
STPT(10)	988942891420850447	0 2 54 56 72 74 90 92 144 146	-1404844386834
SPT(16)	988942962095879257	0 22 64 96 154 162 174 246 250 322 334 342 400 432 474 496	-1334169358024
SPT(16)	988943286277010089	0 22 54 58 64 120 124 154 258 288 292 348 354 358 390 412	-1009988227192
SPT(16)	988943645895275527	0 30 142 144 160 172 210 244 270 304 342 354 370 372 484 514	-650369961754
STPT(10)	988943993107610717	0 2 60 62 102 104 144 146 204 206	-303157626564
STPT(10)	988944495839890661	0 2 36 38 78 80 120 122 156 158	199574653380
SPT(16)	988944772557095903	0 6 20 38 50 84 110 150 194 234 260 294 306 324 338 344	476291858622
SPT(16)	988944789755875781	0 6 56 90 156 176 182 210 308 336 342 362 428 462 512 518	493490638500
SPT(16)	988944848370514403	0 14 84 86 90 98 144 168 176 200 246 254 258 260 330 344	552105277122
SPT(13)	988944946237835747	0 12 30 42 54 84 132 180 210 222 234 252 264	649972598466