Prime p₀= 2501679957887560133 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 22 18 18 54 2 40 14 40 2 54 18 18 22 26 (?)
a_n: 0 26 48 66 84 138 140 180 194 234 236 290 308 326 348 374
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: 374
Found by: JayPi
db: batch=82, k=16, 26 22 18 18 54 2 40 14

SPT(16)	2501676728295711983	0 8 38 90 120 150 168 198 260 290 308 338 368 420 450 458	-3229591848150
STPT(10)	2501676845355670601	0 2 90 92 108 110 126 128 216 218	-3112531889532
SPT(16)	2501676879001833067	0 34 36 54 64 66 126 150 166 190 250 252 262 280 282 316	-3078885727066
STPT(10)	2501678605318228241	0 2 6 8 48 50 90 92 96 98	-1352569331892
STPT(10)	2501679072561158459	0 2 12 14 30 32 48 50 60 62	-885326401674
TPT(14)	2501679351913684211	0 2 36 38 78 80 120 122 168 170 216 218 276 278	-605973875922
STPT(10)	2501680117371758171	0 2 30 32 60 62 90 92 120 122	159484198038
STPT(10)	2501680874827376741	0 2 36 38 78 80 120 122 156 158	916939816608
SPT(13)	2501681102621640859	0 24 84 90 132 150 162 174 192 234 240 300 324	1144734080726
SPT(16)	2501681194491167527	0 16 24 66 90 142 174 192 304 322 354 406 430 472 480 496	1236603607394
SPT(16)	2501681367571506013	0 34 46 64 70 76 78 106 108 136 138 144 150 168 180 214	1409683945880