Prime p₀= 2397015371647449407 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 26 36 18 4 2 10 44 10 2 4 18 36 26 30 (?)
a_n: 0 30 56 92 110 114 116 126 170 180 182 186 204 240 266 296
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: 296
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 30 26 36 18 4 2 10 44

SPT(16)	2397014583012847999	0 54 60 64 108 120 130 144 154 168 178 190 234 238 244 298	-788634601408
SPT(16)	2397014646349252757	0 2 72 80 84 92 164 230 234 300 372 380 384 392 462 464	-725298196650
STPT(10)	2397014766517762379	0 2 18 20 30 32 42 44 60 62	-605129687028
SPT(16)	2397014949327525017	0 2 30 32 56 96 102 116 150 164 170 210 234 236 264 266	-422319924390
SPT(16)	2397015092261818577	0 26 42 50 80 90 120 182 414 476 506 516 546 554 570 596	-279385630830
STPT(10)	2397015226545263081	0 2 6 8 18 20 30 32 36 38	-145102186326
SPT(16)	2397015413817419341	0 36 78 90 126 156 162 168 190 196 202 232 268 280 322 358	42169969934
TPT(14)	2397015828288662489	0 2 30 32 60 62 108 110 210 212 282 284 318 320	456641213082
SPT(16)	2397016062657103141	0 42 46 60 72 112 126 148 210 232 246 286 298 312 316 358	691009653734
STPT(10)	2397016450137687407	0 2 30 32 42 44 54 56 84 86	1078490238000
STPT(10)	2397016474650445829	0 2 18 20 30 32 42 44 60 62	1103002996422