Prime p₀= 838287921253711757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 118 2 4 2 28 2 40 2 (?)
a_n: 0 2 12 14 54 56 174 176 180 182 210 212 252 254
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: ChelseaOilman
db: batch=73, k=14, 10 40 118 4 28 40

SPT(16)	838287278280787007	0 14 32 56 80 116 186 212 264 290 360 396 420 444 462 476	-642972924750
SPT(16)	838287297122641711	0 52 66 72 78 88 102 120 178 196 210 220 226 232 246 298	-624131070046
SPT(18)	838287556376779367	0 42 56 80 92 122 152 174 176 180 182 204 234 264 276 300 314 356	-364876932390
TPT(14)	838287678976183367	0 2 24 26 72 74 162 164 180 182 222 224 360 362	-242277528390
STPT(10)	838287801823652231	0 2 6 8 18 20 30 32 36 38	-119430059526
STPT(10)	838287806985070961	0 2 36 38 78 80 120 122 156 158	-114268640796
STPT(10)	838288301124596261	0 2 30 32 60 62 90 92 120 122	379870884504
SPT(16)	838288340590846823	0 44 54 66 104 164 168 228 236 296 300 360 398 410 420 464	419337135066
SPT(16)	838288349811995393	0 6 54 68 84 98 126 134 180 188 216 230 246 260 308 314	428558283636
SPT(16)	838288719996575389	0 34 120 124 150 168 180 208 234 262 274 292 318 322 408 442	798742863632
SPT(16)	838288726802348557	0 22 24 36 46 82 94 136 180 222 234 270 280 292 294 316	805548636800