Prime p₀= 1013426504046758063 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 104 34 26 24 16 96 14 10 14 96 16 24 26 34 104 (?)
a_n: 0 104 138 164 188 204 300 314 324 338 434 450 474 500 534 638
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 638
Found by: stoneageman
db: batch=76, k=16, 104 34 26 24 16 96 14 10

SPT(18)	1013426103504564731	0 38 78 86 92 126 158 168 182 186 200 210 242 276 282 290 330 368	-400542193332
SPT(16)	1013426166693476633	0 38 48 54 74 158 168 258 290 380 390 474 494 500 510 548	-337353281430
SPT(16)	1013426186861703427	0 22 30 36 82 94 124 154 222 252 282 294 340 346 354 376	-317185054636
SPT(16)	1013426199178708891	0 46 70 78 88 102 156 168 220 232 286 300 310 318 342 388	-304868049172
SPT(16)	1013426243689744231	0 6 12 28 88 106 142 172 366 396 432 450 510 526 532 538	-260357013832
STPT(10)	1013426359845451751	0 2 6 8 108 110 210 212 216 218	-144201306312
SPT(16)	1013426918847891967	0 4 6 12 30 46 94 100 126 132 180 196 214 220 222 226	414801133904
SPT(16)	1013426981000101091	0 48 72 90 98 158 168 198 452 482 492 552 560 578 602 650	476953343028
STPT(10)	1013427091792214129	0 2 18 20 30 32 42 44 60 62	587745456066
TPT(14)	1013427276416124641	0 2 30 32 66 68 156 158 168 170 210 212 240 242	772369366578
SPT(16)	1013427314357971187	0 30 54 96 120 146 156 176 210 230 240 266 290 332 356 386	810311213124