Prime p₀= 2453834458330635799 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 10 6 8 4 38 18 46 18 38 4 8 6 10 24 (?)
a_n: 0 24 34 40 48 52 90 108 154 172 210 214 222 228 238 262
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: 262
Found by: JayPi
db: batch=82, k=16, 24 10 6 8 4 38 18 46

SPT(16)	2453831725442943907	0 22 34 36 40 54 102 120 136 154 202 216 220 222 234 256	-2732887691892
STPT(10)	2453832615519555269	0 2 18 20 30 32 42 44 60 62	-1842811080530
SPT(16)	2453832666605297239	0 22 70 78 82 132 150 202 210 262 280 330 334 342 390 412	-1791725338560
TPT(14)	2453833093337235539	0 2 150 152 210 212 222 224 282 284 312 314 438 440	-1364993400260
TPT(14)	2453833456550707571	0 2 6 8 18 20 168 170 228 230 240 242 270 272	-1001779928228
TPT(14)	2453833712082787247	0 2 12 14 24 26 90 92 120 122 300 302 330 332	-746247848552
SPT(16)	2453834602053262699	0 40 42 78 102 118 120 144 148 172 174 190 214 250 252 292	143722626900
SPT(16)	2453834662307343269	0 8 104 108 120 140 182 210 302 330 372 392 404 408 504 512	203976707470
SPT(16)	2453835162470989369	0 42 48 70 78 88 100 172 270 342 354 364 372 394 400 442	704140353570
STPT(10)	2453835165304921397	0 2 24 26 42 44 60 62 84 86	706974285598
SPT(16)	2453835286622597113	0 18 70 88 106 210 280 288 298 306 376 480 498 516 568 586	828291961314