Prime p₀= 1091640237002942357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 88 2 16 2 22 2 34 2 40 2 (?)
a_n: 0 2 42 44 132 134 150 152 174 176 210 212 252 254
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: stoneageman
db: batch=76, k=14, 40 88 16 22 34 40

SPT(16)	1091637666154076273	0 18 24 44 50 56 128 134 150 156 228 234 240 260 266 284	-2570848866084
SPT(16)	1091637674331373021	0 6 58 72 108 142 150 156 172 178 186 220 256 270 322 328	-2562671569336
STPT(10)	1091637901995063107	0 2 24 26 42 44 60 62 84 86	-2335007879250
SPT(16)	1091637979944248489	0 42 60 62 90 104 114 128 174 188 198 212 240 242 260 302	-2257058693868
SPT(16)	1091638521377726089	0 34 52 82 108 120 160 202 210 252 292 304 330 360 378 412	-1715625216268
SPT(16)	1091640134634565979	0 8 42 84 140 158 168 198 224 254 264 282 338 380 414 422	-102368376378
SPT(16)	1091640502980595739	0 12 48 98 114 138 182 188 204 210 254 278 294 344 380 392	265977653382
STPT(10)	1091640697265635841	0 2 36 38 78 80 120 122 156 158	460262693484
TPT(14)	1091641329915998591	0 2 30 32 36 38 90 92 198 200 228 230 300 302	1092913056234
SPT(16)	1091641591885612267	0 64 84 112 114 162 174 190 294 310 322 370 372 400 420 484	1354882669910
SPT(16)	1091642011533492961	0 10 12 22 36 40 58 66 112 120 138 142 156 166 168 178	1774530550604