Prime p₀= 953427294301051949 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 70 2 16 2 40 2 (?)
a_n: 0 2 30 32 42 44 120 122 192 194 210 212 252 254
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, 28 10 76 70 16 40

STPT(10)	953426441009323451	0 2 30 32 78 80 126 128 156 158	-853291728498
TPT(14)	953426728126571549	0 2 90 92 132 134 138 140 198 200 270 272 300 302	-566174480400
SPT(16)	953427038009326021	0 12 22 40 72 88 102 120 148 166 180 196 228 246 256 268	-256291725928
SPT(16)	953427146868860123	0 36 48 120 140 146 150 158 168 176 180 186 206 278 290 326	-147432191826
STPT(10)	953427180829058231	0 2 6 8 18 20 30 32 36 38	-113471993718
STPT(10)	953427210042054029	0 2 18 20 60 62 102 104 120 122	-84258997920
STPT(10)	953427701306373299	0 2 138 140 180 182 222 224 360 362	407005321350
SPT(16)	953427998088806789	0 54 72 80 92 108 152 164 168 180 224 240 252 260 278 332	703787754840
TPT(14)	953428044412042019	0 2 60 62 78 80 132 134 168 170 228 230 240 242	750110990070
STPT(10)	953428970468329097	0 2 12 14 42 44 72 74 84 86	1676167277148
SPT(16)	953429038598458091	0 26 50 98 120 140 176 206 222 252 288 308 330 378 402 428	1744297406142