Prime p₀= 2222277132282707569 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 24 18 42 6 24 18 18 24 6 42 18 24 (?)
a_n: 0 24 42 84 90 114 132 150 174 180 222 240 264
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: 264
Found by: Penguin
db: batch=81, k=13, 24 18 42 6 24 18

SPT(16)	2222275846185260209	0 58 78 88 114 130 144 240 268 364 378 394 420 430 450 508	-1286097447360
SPT(16)	2222276118507020431	0 6 16 30 70 76 102 108 220 226 252 258 298 312 322 328	-1013775687138
SPT(16)	2222276141555363857	0 36 52 54 94 112 130 150 166 186 204 222 262 264 280 316	-990727343712
STPT(10)	2222276305840667147	0 2 30 32 42 44 54 56 84 86	-826442040422
SPT(16)	2222276736798383779	0 24 42 82 94 100 112 150 154 192 204 210 222 262 280 304	-395484323790
SPT(18)	2222276876535456259	0 18 22 24 52 60 70 78 172 210 304 312 322 330 358 360 364 382	-255747251310
STPT(10)	2222277318827772719	0 2 42 44 60 62 78 80 120 122	186545065150
STPT(10)	2222277498176643029	0 2 12 14 90 92 168 170 180 182	365893935460
SPT(13)	2222278419074597473	0 18 78 84 90 120 144 168 198 204 210 270 288	1286791889904
SPT(16)	2222278777086272939	0 30 68 90 102 110 128 168 254 294 312 320 332 354 392 422	1644803565370
STPT(10)	2222278854304794557	0 2 30 32 42 44 54 56 84 86	1722022086988