Prime p₀= 2662663546760300051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 100 2 70 2 34 2 10 2 16 2 (?)
a_n: 0 2 36 38 138 140 210 212 246 248 258 260 276 278
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: 278
Found by: JayPi
db: batch=82, k=14, 34 100 70 34 10 16

SPT(16)	2662663004874244531	0 42 48 78 82 108 112 148 150 186 190 216 220 250 256 298	-541886055520
SPT(16)	2662663103943221747	0 2 30 140 222 236 240 246 320 326 330 344 426 536 564 566	-442817078304
SPT(16)	2662663372440800387	0 24 32 44 60 74 86 162 164 240 252 266 282 294 302 326	-174319499664
STPT(10)	2662663384203699557	0 2 30 32 102 104 174 176 204 206	-162556600494
SPT(16)	2662663507450036361	0 12 50 56 152 176 186 200 252 266 276 300 396 402 440 452	-39310263690
STPT(10)	2662663529271846869	0 2 18 20 30 32 42 44 60 62	-17488453182
STPT(10)	2662663663870584329	0 2 42 44 90 92 138 140 180 182	117110284278
STPT(10)	2662663776770138747	0 2 60 62 72 74 84 86 144 146	230009838696
SPT(16)	2662664197281233933	0 14 54 74 120 176 194 204 260 270 288 344 390 410 450 464	650520933882
SPT(16)	2662664314642868297	0 42 62 72 90 144 152 230 234 312 320 374 392 402 422 464	767882568246
SPT(16)	2662664564794302751	0 16 42 172 180 196 222 232 246 256 282 298 306 436 462 478	1018034002700