Prime p₀= 950351895063799169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 166 2 70 2 76 2 118 2 (?)
a_n: 0 2 12 14 30 32 198 200 270 272 348 350 468 470
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: 470
Found by: Theadalus
db: batch=76, k=14, 10 16 166 70 76 118

SPT(16)	950351160943150247	0 2 36 72 74 102 120 144 152 176 194 222 224 260 294 296	-734120648922
STPT(10)	950351305117123961	0 2 6 8 18 20 30 32 36 38	-589946675208
SPT(16)	950351339519929583	0 14 18 26 36 54 80 134 210 264 290 308 318 326 330 344	-555543869586
TPT(18)	950351472034313939	0 2 30 32 72 74 120 122 132 134 168 170 228 230 270 272 408 410	-423029485230
SPT(16)	950351700499541917	0 30 40 66 96 120 124 150 166 192 196 220 250 276 286 316	-194564257252
STPT(10)	950351813805470861	0 2 36 38 78 80 120 122 156 158	-81258328308
SPT(16)	950351932301140477	0 12 30 42 72 114 120 124 180 184 190 232 262 274 292 304	37237341308
STPT(10)	950351960384311127	0 2 30 32 42 44 54 56 84 86	65320511958
SPT(16)	950352199270822963	0 6 46 90 114 124 150 154 156 160 186 196 220 264 304 310	304207023794
SPT(16)	950352206803797887	0 14 56 90 110 150 152 176 180 204 206 246 266 300 342 356	311739998718
SPT(16)	950352357229250419	0 22 28 52 54 64 72 124 138 190 198 208 210 234 240 262	462165451250