Prime p₀= 1236575781365168471 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 28 2 10 2 46 2 (?)
a_n: 0 2 6 8 36 38 78 80 108 110 120 122 168 170
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: 170
Found by: Donn Pike (USAF Ret)
db: batch=77, k=14, 4 28 40 28 10 46

SPT(16)	1236574518460795847	0 6 20 36 56 90 224 246 320 342 476 510 530 546 560 566	-1262904372624
SPT(16)	1236574578002878363	0 6 54 58 84 118 168 198 226 256 306 340 366 370 418 424	-1203362290108
STPT(10)	1236574662114238157	0 2 60 62 72 74 84 86 144 146	-1119250930314
SPT(16)	1236574884813955529	0 24 38 62 84 104 108 138 164 194 198 218 240 264 278 302	-896551212942
SPT(16)	1236575284102509787	0 10 46 72 106 112 130 172 210 252 270 276 310 336 372 382	-497262658684
STPT(12)	1236575468144108567	0 2 72 74 102 104 192 194 222 224 294 296	-313221059904
STPT(10)	1236575838481757831	0 2 30 32 78 80 126 128 156 158	57116589360
SPT(16)	1236576447671032621	0 46 102 136 142 186 196 222 226 252 262 306 312 346 402 448	666305864150
SPT(16)	1236577393089308561	0 30 42 62 96 98 120 128 180 188 210 212 246 266 278 308	1611724140090
SPT(16)	1236577429409830769	0 20 60 62 104 114 132 144 158 170 188 198 240 242 282 302	1648044662298
SPT(16)	1236577563123531821	0 2 38 80 96 150 162 212 216 266 278 332 348 390 426 428	1781758363350