Prime p₀= 838287678976183367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 88 2 16 2 40 2 136 2 (?)
a_n: 0 2 24 26 72 74 162 164 180 182 222 224 360 362
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: 362
Found by: ChelseaOilman
db: batch=73, k=14, 22 46 88 16 40 136

SPT(16)	838286459976525149	0 14 42 80 102 128 182 210 272 300 354 380 402 440 468 482	-1218999658218
TPT(14)	838286651620775057	0 2 84 86 204 206 330 332 414 416 420 422 492 494	-1027355408310
STPT(10)	838286786338885307	0 2 30 32 72 74 114 116 144 146	-892637298060
SPT(16)	838287278280787007	0 14 32 56 80 116 186 212 264 290 360 396 420 444 462 476	-400695396360
SPT(16)	838287297122641711	0 52 66 72 78 88 102 120 178 196 210 220 226 232 246 298	-381853541656
SPT(18)	838287556376779367	0 42 56 80 92 122 152 174 176 180 182 204 234 264 276 300 314 356	-122599404000
STPT(10)	838287801823652231	0 2 6 8 18 20 30 32 36 38	122847468864
STPT(10)	838287806985070961	0 2 36 38 78 80 120 122 156 158	128008887594
TPT(14)	838287921253711757	0 2 12 14 54 56 174 176 180 182 210 212 252 254	242277528390
STPT(10)	838288301124596261	0 2 30 32 60 62 90 92 120 122	622148412894
SPT(16)	838288340590846823	0 44 54 66 104 164 168 228 236 296 300 360 398 410 420 464	661614663456