Prime p₀= 2537566378336124281 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 22 18 12 2 6 60 16 60 6 2 12 18 22 6 (?)
a_n: 0 6 28 46 58 60 66 126 142 202 208 210 222 240 262 268
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: 268
Found by: JayPi
db: batch=82, k=16, 6 22 18 12 2 6 60 16

SPT(16)	2537564343667004269	0 10 52 72 148 150 190 234 238 282 322 324 400 420 462 472	-2034669120012
SPT(16)	2537564362996016521	0 6 10 40 52 76 82 88 90 96 102 126 138 168 172 178	-2015340107760
SPT(16)	2537564493410718769	0 18 30 70 72 130 144 204 208 268 282 340 342 382 394 412	-1884925405512
STPT(10)	2537565644430282671	0 2 6 8 18 20 30 32 36 38	-733905841610
STPT(10)	2537566162866193001	0 2 6 8 48 50 90 92 96 98	-215469931280
STPT(10)	2537566289441053859	0 2 18 20 30 32 42 44 60 62	-88895070422
SPT(16)	2537567018805414577	0 22 42 60 66 106 154 186 220 252 300 340 346 364 384 406	640469290296
SPT(16)	2537567049657164251	0 42 46 48 72 112 126 156 172 202 216 256 280 282 286 328	671321039970
SPT(16)	2537567205989871997	0 22 60 64 102 120 126 132 184 190 196 214 252 256 294 316	827653747716
STPT(10)	2537567340584668307	0 2 24 26 42 44 60 62 84 86	962248544026
SPT(16)	2537567851491622151	0 30 42 68 90 108 168 170 210 212 272 290 312 338 350 380	1473155497870