Prime p₀= 1096312697423075087 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 16 2 28 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 90 92 114 116 132 134 174 176
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: 176
Found by: Theadalus
db: batch=76, k=14, 40 16 28 22 16 40

STPT(10)	1096311462432845999	0 2 18 20 30 32 42 44 60 62	-1234990229088
SPT(16)	1096311480450090353	0 14 36 56 60 80 96 150 320 374 390 410 414 434 456 470	-1216972984734
SPT(16)	1096312222826578501	0 42 52 72 100 120 156 162 190 196 232 252 280 300 310 352	-474596496586
TPT(14)	1096312573866184121	0 2 18 20 150 152 168 170 228 230 270 272 360 362	-123556890966
SPT(16)	1096312658575573783	0 24 28 40 54 60 66 70 84 88 94 100 114 126 130 154	-38847501304
SPT(16)	1096312670455100603	0 38 68 74 84 140 180 240 248 308 348 404 414 420 450 488	-26967974484
STPT(10)	1096312747525732937	0 2 12 14 72 74 132 134 144 146	50102657850
STPT(10)	1096313155199760539	0 2 18 20 30 32 42 44 60 62	457776685452
SPT(16)	1096313401193988541	0 16 18 22 70 100 102 148 210 256 258 288 336 340 342 358	703770913454
SPT(16)	1096313484183649777	0 16 126 160 174 184 196 222 304 330 342 352 366 400 510 526	786760574690
SPT(16)	1096313620174416361	0 6 46 70 100 106 120 148 210 238 252 258 288 312 352 358	922751341274