Prime p₀= 1091411987692451627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 16 2 40 2 118 2 16 2 (?)
a_n: 0 2 12 14 54 56 72 74 114 116 234 236 252 254
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, 10 40 16 40 118 16

SPT(16)	1091411105070943619	0 2 14 62 92 114 132 140 204 212 230 252 282 330 342 344	-882621508008
SPT(16)	1091411188516411613	0 36 54 68 78 90 156 210 224 278 344 356 366 380 398 434	-799176040014
SPT(16)	1091411290137112781	0 18 20 26 68 128 156 176 180 200 228 288 330 336 338 356	-697555338846
SPT(16)	1091411323842661979	0 24 44 78 84 108 120 150 182 212 224 248 254 288 308 332	-663849789648
SPT(16)	1091411475710244079	0 10 114 138 180 228 252 268 294 310 334 382 424 448 552 562	-511982207548
STPT(10)	1091411796638823629	0 2 12 14 30 32 48 50 60 62	-191053627998
TPT(14)	1091412252203014757	0 2 30 32 54 56 114 116 222 224 294 296 402 404	264510563130
STPT(10)	1091412667179004979	0 2 48 50 90 92 132 134 180 182	679486553352
SPT(16)	1091412687281794477	0 36 46 84 94 132 150 160 246 256 274 312 322 360 370 406	699589342850
SPT(16)	1091412860344801711	0 6 10 40 66 72 82 136 156 210 220 226 252 282 286 292	872652350084
SPT(16)	1091413156823424277	0 6 24 40 52 76 124 156 160 192 240 264 276 292 310 316	1169130972650