Prime p₀= 838286651620775057 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 118 2 124 2 82 2 4 2 70 2 (?)
a_n: 0 2 84 86 204 206 330 332 414 416 420 422 492 494
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: 494
Found by: ChelseaOilman
db: batch=73, k=14, 82 118 124 82 4 70

SPT(16)	838285521739411147	0 6 10 24 70 72 94 106 120 132 154 156 202 216 220 226	-1129881363910
STPT(10)	838285611151104197	0 2 42 44 72 74 102 104 144 146	-1040469670860
SPT(16)	838285840115673329	0 2 18 44 48 78 120 158 174 212 254 284 288 314 330 332	-811505101728
SPT(16)	838286134601550419	0 24 38 54 68 98 102 144 158 200 204 234 248 264 278 302	-517019224638
STPT(10)	838286311290399287	0 2 30 32 42 44 54 56 84 86	-340330375770
SPT(16)	838286459976525149	0 14 42 80 102 128 182 210 272 300 354 380 402 440 468 482	-191644249908
STPT(10)	838286786338885307	0 2 30 32 72 74 114 116 144 146	134718110250
SPT(16)	838287278280787007	0 14 32 56 80 116 186 212 264 290 360 396 420 444 462 476	626660011950
SPT(16)	838287297122641711	0 52 66 72 78 88 102 120 178 196 210 220 226 232 246 298	645501866654
SPT(18)	838287556376779367	0 42 56 80 92 122 152 174 176 180 182 204 234 264 276 300 314 356	904756004310
TPT(14)	838287678976183367	0 2 24 26 72 74 162 164 180 182 222 224 360 362	1027355408310