Prime p₀= 1305592895698433009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 10 2 10 2 58 2 64 2 (?)
a_n: 0 2 90 92 108 110 120 122 132 134 192 194 258 260
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: 260
Found by: stoneageman
db: batch=77, k=14, 88 16 10 10 58 64

SPT(16)	1305591396418453321	0 28 58 90 118 136 210 262 336 388 462 480 508 540 570 598	-1499279979688
SPT(16)	1305591491861988281	0 18 32 38 60 62 150 168 170 188 276 278 300 306 320 338	-1403836444728
STPT(10)	1305591522043682717	0 2 30 32 42 44 54 56 84 86	-1373654750292
STPT(10)	1305591572306715509	0 2 12 14 30 32 48 50 60 62	-1323391717500
STPT(10)	1305591856475498087	0 2 60 62 72 74 84 86 144 146	-1039222934922
TPT(14)	1305592152658772807	0 2 12 14 90 92 132 134 162 164 180 182 204 206	-743039660202
SPT(16)	1305593003583920581	0 10 22 60 70 76 78 90 148 160 162 168 178 216 228 238	107885487572
STPT(10)	1305593700623073179	0 2 48 50 90 92 132 134 180 182	804924640170
SPT(16)	1305594504882037387	0 30 36 42 70 76 94 106 120 132 150 156 184 190 196 226	1609183604378
SPT(16)	1305594827629379557	0 4 22 84 90 106 124 132 154 162 180 196 202 264 282 286	1931930946548
SPT(16)	1305594827708207731	0 6 28 36 60 76 100 126 220 246 270 286 310 318 340 346	1932009774722