Prime p₀= 1512388354463666837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 40 2 4 2 28 2 40 2 (?)
a_n: 0 2 54 56 132 134 174 176 180 182 210 212 252 254
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: 254
Found by: xii5ku
db: batch=78, k=14, 52 76 40 4 28 40

STPT(10)	1512386680754827919	0 2 18 20 30 32 42 44 60 62	-1673708838918
SPT(16)	1512386984556053461	0 18 48 126 136 148 150 186 220 256 258 270 280 358 388 406	-1369907613376
STPT(12)	1512387396277752719	0 2 18 20 30 32 60 62 72 74 90 92	-958185914118
SPT(16)	1512387963118317067	0 6 12 16 54 72 90 100 126 136 154 172 210 214 220 226	-391345349770
TPT(14)	1512388030114802117	0 2 30 32 54 56 144 146 210 212 300 302 312 314	-324348864720
SPT(16)	1512388067156461081	0 28 30 66 108 192 196 222 226 252 256 340 382 418 420 448	-287307205756
STPT(10)	1512388379507624711	0 2 78 80 138 140 198 200 276 278	25043957874
STPT(10)	1512388652849471669	0 2 18 20 30 32 42 44 60 62	298385804832
SPT(16)	1512388774141359559	0 18 54 58 84 100 144 174 208 238 282 298 324 328 364 382	419677692722
SPT(16)	1512389115030839029	0 22 52 112 118 144 160 180 202 222 238 264 270 330 360 382	760567172192
TPT(14)	1512389175760034321	0 2 66 68 96 98 168 170 198 200 318 320 450 452	821296367484