Prime p₀= 1095249268206373697 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 76 2 100 2 28 2 40 2 76 2 (?)
a_n: 0 2 102 104 180 182 282 284 312 314 354 356 432 434
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: 434
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 100 76 100 28 40 76

TPT(14)	1095248758660795367	0 2 24 26 72 74 192 194 210 212 270 272 312 314	-509545578330
SPT(16)	1095249019429081333	0 78 124 144 150 166 186 208 216 238 258 274 280 300 346 424	-248777292364
SPT(16)	1095249029946499481	0 36 72 126 180 188 210 212 306 308 330 338 392 446 482 518	-238259874216
SPT(16)	1095249162539030329	0 88 150 168 172 174 178 244 288 354 358 360 364 382 444 532	-105667343368
TPT(14)	1095249183508363571	0 2 30 32 78 80 156 158 270 272 288 290 336 338	-84698010126
TPT(14)	1095249242189224007	0 2 54 56 90 92 132 134 210 212 264 266 420 422	-26017149690
SPT(16)	1095249640456551197	0 2 66 72 90 92 126 140 156 170 204 206 224 230 294 296	372250177500
STPT(10)	1095249867238298207	0 2 42 44 72 74 102 104 144 146	599031924510
STPT(10)	1095250321586420939	0 2 18 20 30 32 42 44 60 62	1053380047242
STPT(10)	1095250652602934879	0 2 30 32 120 122 210 212 240 242	1384396561182
STPT(10)	1095251246684985461	0 2 36 38 78 80 120 122 156 158	1978478611764