Prime p₀= 2531144309296204871 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 68 10 48 6 14 46 6 32 6 46 14 6 48 10 68 (?)
a_n: 0 68 78 126 132 146 192 198 230 236 282 296 302 350 360 428
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: 428
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 68 10 48 6 14 46 6 32

STPT(10)	2531142830781980711	0 2 6 8 18 20 30 32 36 38	-1478514224160
SPT(16)	2531142941564357479	0 52 100 108 118 132 154 172 300 318 340 354 364 372 420 472	-1367731847392
STPT(10)	2531143180363026077	0 2 30 32 60 62 90 92 120 122	-1128933178794
STPT(10)	2531143502237054951	0 2 36 38 78 80 120 122 156 158	-807059149920
TPT(16)	2531143664188528847	0 2 12 14 84 86 132 134 162 164 300 302 360 362 402 404	-645107676024
SPT(16)	2531143994972623207	0 4 46 52 60 112 150 156 190 196 234 286 294 300 342 346	-314323581664
STPT(10)	2531144552640981647	0 2 30 32 42 44 54 56 84 86	243344776776
STPT(10)	2531144643492546197	0 2 30 32 42 44 54 56 84 86	334196341326
STPT(10)	2531144669719916351	0 2 6 8 48 50 90 92 96 98	360423711480
SPT(16)	2531144732122887277	0 4 106 130 150 160 222 232 234 244 306 316 336 360 462 466	422826682406
SPT(16)	2531145173776146271	0 12 18 78 106 136 156 178 240 262 282 312 340 400 406 418	864479941400