Prime p₀= 1272500641767521519 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 22 2 4 2 28 2 22 2 (?)
a_n: 0 2 42 44 108 110 132 134 138 140 168 170 192 194
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: 194
Found by: MarkRBright
db: batch=77, k=14, 40 64 22 4 28 22

SPT(16)	1272499440821845213	0 28 70 84 154 160 234 258 280 304 378 384 454 468 510 538	-1200945676306
TPT(14)	1272499541414589869	0 2 78 80 120 122 138 140 168 170 252 254 258 260	-1100352931650
SPT(16)	1272499742548664897	0 12 60 80 86 116 180 182 210 212 276 306 312 332 380 392	-899218856622
STPT(10)	1272500085548103149	0 2 12 14 90 92 168 170 180 182	-556219418370
SPT(16)	1272500485045832281	0 22 28 30 42 72 78 82 126 130 136 166 178 180 186 208	-156721689238
SPT(16)	1272500616018783113	0 54 78 114 188 230 264 288 320 344 378 420 494 530 554 608	-25748738406
TPT(14)	1272500918368047539	0 2 42 44 90 92 210 212 252 254 288 290 318 320	276600526020
STPT(10)	1272501350829475979	0 2 18 20 60 62 102 104 120 122	709061954460
SPT(16)	1272501425066727637	0 22 70 90 132 150 166 190 222 246 262 280 322 342 390 412	783299206118
SPT(16)	1272501541522579289	0 8 32 38 60 62 78 110 132 164 180 182 204 210 234 242	899755057770
STPT(10)	1272501562459517189	0 2 48 50 60 62 72 74 120 122	920691995670