Prime p₀= 1016510132414925191 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 10 2 28 2 40 2 16 2 40 2 (?)
a_n: 0 2 96 98 108 110 138 140 180 182 198 200 240 242
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: 242
Found by: stoneageman
db: batch=76, k=14, 94 10 28 40 16 40

SPT(16)	1016509258209117019	0 78 84 88 90 120 144 154 288 298 322 352 354 358 364 442	-874205808172
SPT(16)	1016509321963270841	0 12 90 96 110 116 128 146 192 210 222 228 242 248 326 338	-810451654350
SPT(16)	1016509436242354583	0 18 44 50 60 84 86 96 158 168 170 194 204 210 236 254	-696172570608
SPT(16)	1016509484064478499	0 8 32 50 60 62 104 120 182 198 240 242 252 270 294 302	-648350446692
STPT(10)	1016509618700804729	0 2 48 50 90 92 132 134 180 182	-513714120462
SPT(16)	1016509763083630019	0 12 18 54 78 120 138 140 222 224 242 284 308 344 350 362	-369331295172
SPT(16)	1016510216921410577	0 66 86 120 150 156 164 186 230 252 260 266 296 330 350 416	84506485386
STPT(10)	1016510252202766229	0 2 18 20 30 32 42 44 60 62	119787841038
SPT(16)	1016510301659792777	0 6 12 14 24 26 54 56 60 62 90 92 102 104 110 116	169244867586
STPT(12)	1016510301659792789	0 2 12 14 42 44 48 50 78 80 90 92	169244867598
SPT(16)	1016510381723740909	0 48 130 148 178 210 252 280 312 340 382 414 444 462 544 592	249308815718