Prime p₀= 2723077350996363817 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 22 2 30 6 40 24 38 10 38 24 40 6 30 2 22 (?)
a_n: 0 22 24 54 60 100 124 162 172 210 234 274 280 310 312 334
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: 334
Found by: Roadranner
db: batch=82, k=16, 22 2 30 6 40 24 38 10

STPT(10)	2723076705929063831	0 2 6 8 48 50 90 92 96 98	-645067299986
SPT(18)	2723076739730542043	0 14 90 146 156 158 168 170 210 314 354 356 366 368 378 434 510 524	-611265821774
SPT(16)	2723076786667452161	0 18 20 36 116 150 200 228 248 276 326 360 440 456 458 476	-564328911656
TPT(14)	2723077024966054061	0 2 6 8 30 32 138 140 156 158 180 182 240 242	-326030309756
SPT(16)	2723077093714252553	0 6 14 38 50 56 104 108 116 120 168 174 186 210 218 224	-257282111264
SPT(16)	2723077118171596649	0 12 42 72 108 114 138 150 182 194 218 224 260 290 320 332	-232824767168
SPT(16)	2723077565929194281	0 36 42 62 68 80 188 198 230 240 348 360 366 386 392 428	214932830464
STPT(10)	2723077614157418657	0 2 12 14 42 44 72 74 84 86	263161054840
STPT(10)	2723078002995564827	0 2 30 32 42 44 54 56 84 86	651999201010
STPT(10)	2723078675396953187	0 2 30 32 42 44 54 56 84 86	1324400589370
SPT(16)	2723078696121740161	0 22 36 76 100 130 150 210 262 322 342 372 396 436 450 472	1345125376344