Prime p₀= 2357443487339442209 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 6 46 48 2 4 6 38 6 4 2 48 46 6 8 (?)
a_n: 0 8 14 60 108 110 114 120 158 164 168 170 218 264 270 278
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: 278
Found by: Vato
db: batch=81, k=16, 8 6 46 48 2 4 6 38

SPT(16)	2357442956684853409	0 58 82 88 100 102 120 142 150 172 190 192 204 210 234 292	-530654588800
SPT(16)	2357442986384319913	0 30 66 76 78 88 118 136 210 228 258 268 270 280 316 346	-500955122296
SPT(16)	2357443222545823231	0 22 40 102 130 178 186 196 222 232 240 288 316 378 396 418	-264793618978
STPT(10)	2357443228715382947	0 2 60 62 72 74 84 86 144 146	-258624059262
SPT(16)	2357443239124357081	0 12 36 48 102 106 120 132 166 178 192 196 250 262 286 298	-248215085128
SPT(16)	2357443480791210719	0 90 108 120 134 162 168 222 230 284 290 318 332 344 362 452	-6548231490
SPT(16)	2357443816261708333	0 24 70 78 108 144 148 178 186 216 220 256 286 294 340 364	328922266124
SPT(16)	2357443927265037131	0 6 30 50 68 78 86 98 210 222 230 240 258 278 302 308	439925594922
SPT(18)	2357444038115654867	0 12 42 54 56 80 84 110 144 332 366 392 396 420 422 434 464 476	550776212658
STPT(12)	2357444125708258667	0 2 42 44 54 56 120 122 132 134 174 176	638368816458
SPT(18)	2357444203909360231	0 12 22 40 52 102 142 178 220 240 282 318 358 408 420 438 448 460	716569918022