Prime p₀= 1167664937481099719 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 70 2 4 2 112 2 16 2 (?)
a_n: 0 2 48 50 60 62 132 134 138 140 252 254 270 272
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: Theadalus
db: batch=77, k=14, 46 10 70 4 112 16

SPT(16)	1167663920159369419	0 10 24 100 112 120 160 210 232 282 322 330 342 418 432 442	-1017321730300
TPT(14)	1167663940041500567	0 2 12 14 24 26 54 56 150 152 162 164 204 206	-997439599152
SPT(16)	1167664171273477513	0 34 48 54 88 180 186 220 294 328 334 426 460 466 480 514	-766207622206
STPT(10)	1167664256073465341	0 2 36 38 78 80 120 122 156 158	-681407634378
STPT(10)	1167664409984401211	0 2 36 38 78 80 120 122 156 158	-527496698508
SPT(16)	1167664848475263163	0 34 60 78 148 156 174 204 280 310 328 336 406 424 450 484	-89005836556
STPT(10)	1167665426589273509	0 2 18 20 30 32 42 44 60 62	489108173790
TPT(14)	1167665611743684461	0 2 18 20 36 38 48 50 78 80 90 92 126 128	674262584742
STPT(10)	1167665681091000101	0 2 6 8 48 50 90 92 96 98	743609900382
STPT(10)	1167665878753482089	0 2 42 44 60 62 78 80 120 122	941272382370
SPT(16)	1167666106705081579	0 24 40 88 138 148 220 232 270 282 354 364 414 462 478 502	1169223981860