Prime p₀= 2381711264096458643 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 18 36 8 6 10 14 58 14 10 6 8 36 18 6 (?)
a_n: 0 6 24 60 68 74 84 98 156 170 180 186 194 230 248 254
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: 254
Found by: Landjunge
db: batch=81, k=16, 6 18 36 8 6 10 14 58

SPT(16)	2381708660968131101	0 8 38 50 66 80 126 158 168 200 246 260 276 288 318 326	-2603128327542
SPT(16)	2381709772826103047	0 32 44 54 110 186 234 236 240 242 290 366 422 432 444 476	-1491270355596
SPT(16)	2381710727304942199	0 60 88 108 118 168 192 202 228 238 262 312 322 342 370 430	-536791516444
SPT(16)	2381710945064046811	0 12 22 42 48 88 102 138 160 196 210 250 256 276 286 298	-319032411832
STPT(10)	2381710996499076677	0 2 30 32 42 44 54 56 84 86	-267597381966
SPT(16)	2381711224294824263	0 8 30 36 56 90 128 186 188 246 284 318 338 344 366 374	-39801634380
SPT(16)	2381711588056575097	0 4 16 36 66 100 114 120 136 142 156 190 220 240 252 256	323960116454
STPT(10)	2381711717559694571	0 2 6 8 18 20 30 32 36 38	453463235928
SPT(16)	2381711848746972143	0 20 90 98 114 134 138 150 278 290 294 314 330 338 408 428	584650513500
SPT(16)	2381712087717927907	0 24 40 90 150 192 202 262 294 354 364 406 466 516 532 556	823621469264
STPT(10)	2381712146578946537	0 2 30 32 72 74 114 116 144 146	882482487894