Prime p₀= 1251425097942827369 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 10 2 10 2 28 2 34 2 40 2 (?)
a_n: 0 2 78 80 90 92 102 104 132 134 168 170 210 212
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: 212
Found by: stoneageman
db: batch=77, k=14, 76 10 10 28 34 40

SPT(16)	1251424447320487807	0 16 22 30 42 70 72 94 132 154 156 184 196 204 210 226	-650622339562
SPT(16)	1251424457391131711	0 8 42 62 156 162 200 212 216 228 266 272 366 386 420 428	-640551695658
STPT(10)	1251424539165562649	0 2 18 20 30 32 42 44 60 62	-558777264720
STPT(10)	1251424864982941511	0 2 30 32 78 80 126 128 156 158	-232959885858
TPT(14)	1251424913727746297	0 2 12 14 42 44 114 116 150 152 180 182 204 206	-184215081072
SPT(16)	1251425066546751067	0 10 24 72 114 132 154 160 174 180 202 220 262 310 324 334	-31396076302
SPT(16)	1251425174330264897	0 6 12 14 56 62 84 146 270 332 354 360 402 404 410 416	76387437528
STPT(10)	1251425394673658639	0 2 78 80 120 122 162 164 240 242	296730831270
STPT(10)	1251425538324120557	0 2 30 32 72 74 114 116 144 146	440381293188
SPT(16)	1251425581461814813	0 6 48 70 84 118 130 160 174 204 216 250 264 286 328 334	483518987444
SPT(16)	1251426378126858517	0 96 154 162 190 216 226 282 334 390 400 426 454 462 520 616	1280184031148