Prime p₀= 2531037000291945967 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 42 70 90 8 70 12 14 10 14 12 70 8 90 70 42 (?)
a_n: 0 42 112 202 210 280 292 306 316 330 342 412 420 510 580 622
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: 622
Found by: [SG-FC] hl
db: batch=82, k=16, 42 70 90 8 70 12 14 10

SPT(16)	2531036261092295477	0 6 14 20 26 42 50 54 92 96 104 120 126 132 140 146	-739199650490
STPT(10)	2531036306774670977	0 2 60 62 72 74 84 86 144 146	-693517274990
SPT(16)	2531036368181059873	0 36 40 66 94 114 136 138 166 168 190 210 238 264 268 304	-632110886094
TPT(14)	2531036422252683491	0 2 18 20 168 170 186 188 198 200 240 242 318 320	-578039262476
TPT(14)	2531036604797324639	0 2 42 44 78 80 108 110 162 164 198 200 222 224	-395494621328
SPT(16)	2531036847561432761	0 36 42 68 80 90 96 162 206 272 278 288 300 326 332 368	-152730513206
STPT(10)	2531037921308582471	0 2 36 38 78 80 120 122 156 158	921016636504
SPT(16)	2531038430584561649	0 90 92 114 198 218 224 264 338 378 384 404 488 510 512 602	1430292615682
SPT(16)	2531038503784289209	0 22 72 130 132 138 190 204 208 222 274 280 282 340 390 412	1503492343242
STPT(10)	2531038593749394317	0 2 30 32 42 44 54 56 84 86	1593457448350
STPT(12)	2531038747780793177	0 2 12 14 54 56 90 92 132 134 144 146	1747488847210