Prime p₀= 2561770415512469267 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 30 54 36 36 54 30 30 54 36 36 54 30 (?)
a_n: 0 30 84 120 156 210 240 270 324 360 396 450 480
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 480
Found by: JayPi
db: batch=82, k=13, 30 54 36 36 54 30

SPT(16)	2561768789486009273	0 36 74 78 84 144 156 174 200 218 230 290 296 300 338 374	-1626026459994
STPT(10)	2561769273453439871	0 2 6 8 48 50 90 92 96 98	-1142059029396
STPT(10)	2561769278952914489	0 2 18 20 30 32 42 44 60 62	-1136559554778
STPT(10)	2561769882127856339	0 2 18 20 60 62 102 104 120 122	-533384612928
STPT(10)	2561770014350904701	0 2 36 38 78 80 120 122 156 158	-401161564566
SPT(16)	2561770043395367657	0 2 6 24 56 62 74 132 164 222 234 240 272 290 294 296	-372117101610
SPT(16)	2561770663640789347	0 22 40 64 82 106 112 132 154 174 180 204 222 246 264 286	248128320080
SPT(16)	2561770707476192077	0 10 40 54 94 144 150 154 162 166 172 222 262 276 306 316	291963722810
SPT(16)	2561770973599267769	0 8 14 50 78 84 122 204 218 300 338 344 372 408 414 422	558086798502
SPT(13)	2561771042764344211	0 36 66 78 108 126 138 150 168 198 210 240 276	627251874944
TPT(14)	2561771076102813719	0 2 18 20 42 44 180 182 258 260 300 302 312 314	660590344452