Prime p₀= 953042373053452499 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 58 2 10 2 16 2 82 2 4 2 (?)
a_n: 0 2 138 140 198 200 210 212 228 230 312 314 318 320
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: 320
Found by: stoneageman
db: batch=76, k=14, 136 58 10 16 82 4

SPT(16)	953040926021588153	0 8 14 24 68 78 96 140 204 248 266 276 320 330 336 344	-1447031864346
SPT(16)	953041199415876937	0 16 46 60 66 72 106 120 142 156 190 196 202 216 246 262	-1173637575562
SPT(16)	953041368623299909	0 48 64 72 154 160 184 204 238 258 282 288 370 378 394 442	-1004430152590
SPT(16)	953041433680665037	0 4 22 36 42 60 120 144 172 196 256 274 280 294 312 316	-939372787462
SPT(16)	953041437546678619	0 10 12 34 42 60 72 84 100 112 124 142 150 172 174 184	-935506773880
SPT(16)	953042260905844163	0 18 20 38 80 84 134 150 158 174 224 228 270 288 290 308	-112147608336
STPT(10)	953042749674822881	0 2 6 8 48 50 90 92 96 98	376621370382
TPT(14)	953042849435890949	0 2 72 74 138 140 150 152 168 170 180 182 222 224	476382438450
STPT(10)	953043226535371799	0 2 18 20 60 62 102 104 120 122	853481919300
SPT(16)	953043258116846327	0 12 54 60 74 126 134 156 200 222 230 282 296 302 344 356	885063393828
SPT(16)	953043337033345951	0 22 28 46 126 136 148 178 180 210 222 232 312 330 336 358	963979893452