Prime p₀= 1265162668518181877 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 70 2 88 2 10 2 274 2 (?)
a_n: 0 2 12 14 90 92 162 164 252 254 264 266 540 542
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: 542
Found by: xii5ku
db: batch=77, k=14, 10 76 70 88 10 274

STPT(10)	1265161204579039049	0 2 42 44 60 62 78 80 120 122	-1463939142828
SPT(16)	1265161486658122399	0 10 34 40 42 48 64 82 150 168 184 190 192 198 222 232	-1181860059478
STPT(10)	1265162072544017267	0 2 42 44 72 74 102 104 144 146	-595974164610
STPT(10)	1265162444346677867	0 2 42 44 72 74 102 104 144 146	-224171504010
STPT(10)	1265162512438597481	0 2 36 38 78 80 120 122 156 158	-156079584396
STPT(10)	1265162649530059457	0 2 90 92 102 104 114 116 204 206	-18988122420
SPT(16)	1265162943657185687	0 6 14 44 86 92 144 176 240 272 324 330 372 402 410 416	275139003810
SPT(16)	1265162994041863361	0 26 78 90 96 120 146 216 272 342 368 392 398 410 462 488	325523681484
SPT(16)	1265163112140059807	0 20 42 50 54 96 114 140 246 272 290 332 336 344 366 386	443621877930
STPT(10)	1265163282727161869	0 2 18 20 30 32 42 44 60 62	614208979992
STPT(10)	1265163476431901117	0 2 30 32 42 44 54 56 84 86	807913719240