Prime p₀= 1094143102324516481 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 70 2 124 2 52 2 58 2 (?)
a_n: 0 2 66 68 108 110 180 182 306 308 360 362 420 422
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: 422
Found by: crashtech
db: batch=76, k=14, 64 40 70 124 52 58

STPT(10)	1094142159598665641	0 2 36 38 78 80 120 122 156 158	-942725850840
SPT(16)	1094142285893773183	0 28 60 78 96 138 168 190 306 328 358 400 418 436 468 496	-816430743298
SPT(16)	1094142306184447981	0 10 40 52 66 96 112 132 160 180 196 226 240 252 282 292	-796140068500
SPT(16)	1094142397541531171	0 8 42 66 80 86 110 116 162 168 192 198 212 236 270 278	-704782985310
SPT(16)	1094142715386373229	0 2 14 44 80 90 92 122 300 330 332 342 378 408 420 422	-386938143252
STPT(10)	1094142738395631929	0 2 42 44 90 92 138 140 180 182	-363928884552
SPT(16)	1094143437198805417	0 12 22 40 84 90 106 120 166 180 196 202 246 264 274 286	334874288936
STPT(10)	1094143483123881101	0 2 6 8 18 20 30 32 36 38	380799364620
SPT(16)	1094143541960634793	0 60 108 136 138 160 180 196 228 244 264 286 288 316 364 424	439636118312
SPT(16)	1094143591689688247	0 2 12 50 60 116 126 144 152 170 180 236 246 284 294 296	489365171766
STPT(10)	1094143593017708687	0 2 24 26 42 44 60 62 84 86	490693192206