Prime p₀= 2581344567202751927 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 4 12 74 64 36 54 38 54 36 64 74 12 4 20 (?)
a_n: 0 20 24 36 110 174 210 264 302 356 392 456 530 542 546 566
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: 566
Found by: JayPi
db: batch=82, k=16, 20 4 12 74 64 36 54 38

SPT(16)	2581342898505842231	0 66 68 78 96 126 150 158 168 176 200 230 248 258 260 326	-1668696909696
SPT(16)	2581343143159232791	0 22 28 30 40 148 150 166 192 208 210 318 328 330 336 358	-1424043519136
STPT(10)	2581343150648670437	0 2 30 32 42 44 54 56 84 86	-1416554081490
SPT(16)	2581343388308737973	0 20 26 60 90 98 110 128 156 174 186 194 224 258 264 284	-1178894013954
SPT(16)	2581343546731226813	0 8 20 60 84 90 134 156 158 180 224 230 254 294 306 314	-1020471525114
SPT(16)	2581343547116125783	0 4 34 118 138 148 154 208 210 264 270 280 300 384 414 418	-1020086626144
SPT(16)	2581345105789409221	0 6 28 30 40 42 48 52 96 100 106 108 118 120 142 148	538586657294
STPT(10)	2581345279639582637	0 2 24 26 42 44 60 62 84 86	712436830710
STPT(10)	2581345318795810751	0 2 30 32 60 62 90 92 120 122	751593058824
SPT(16)	2581345571304489623	0 18 60 84 96 104 138 200 204 266 300 308 320 344 386 404	1004101737696
TPT(14)	2581345684093806557	0 2 42 44 102 104 300 302 312 314 342 344 354 356	1116891054630