Prime p₀= 4092710907652227661 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 66 36 12 22 24 2 22 2 24 22 12 36 66 6 (?)
a_n: 0 6 72 108 120 142 166 168 190 192 216 238 250 286 352 358
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: 358
Found by: Vitalii Koshura
db: batch=84, k=16, 6 66 36 12 22 24 2 22

SPT(16)	4092707975220349343	0 8 24 78 80 104 126 138 146 158 180 204 206 260 276 284	-2932431878318
STPT(10)	4092708370916675087	0 2 30 32 42 44 54 56 84 86	-2536735552574
SPT(16)	4092708968517044423	0 44 48 60 86 98 146 260 294 408 456 468 494 506 510 554	-1939135183238
TPT(14)	4092709950354166709	0 2 78 80 138 140 150 152 282 284 348 350 450 452	-957298060952
STPT(10)	4092710274442956497	0 2 90 92 102 104 114 116 204 206	-633209271164
SPT(16)	4092710756003853287	0 2 24 44 54 132 134 156 230 252 254 332 342 362 384 386	-151648374374
STPT(10)	4092710917645042037	0 2 42 44 72 74 102 104 144 146	9992814376
TPT(14)	4092710928978030167	0 2 30 32 42 44 72 74 84 86 90 92 132 134	21325802506
SPT(16)	4092710957225765701	0 52 66 168 186 192 210 220 288 298 316 322 340 442 456 508	49573538040
SPT(16)	4092711036019232119	0 30 34 48 58 64 78 114 124 160 174 180 190 204 208 238	128367004458
SPT(16)	4092711096794447887	0 12 22 34 64 84 90 126 250 286 292 312 342 354 364 376	189142220226