Prime p₀= 2564312410636046557 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 76 6 8 24 102 36 18 136 18 36 102 24 8 6 76 (?)
a_n: 0 76 82 90 114 216 252 270 406 424 460 562 586 594 600 676
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: 676
Found by: [SG-FC] hl
db: batch=82, k=16, 76 6 8 24 102 36 18 136

SPT(16)	2564310727671599521	0 30 40 52 82 88 112 118 150 156 180 186 216 228 238 268	-1682964447036
STPT(10)	2564310981784893329	0 2 18 20 30 32 42 44 60 62	-1428851153228
SPT(16)	2564310999881460649	0 18 30 52 70 78 108 150 190 232 262 270 288 310 322 340	-1410754585908
STPT(10)	2564311544803278239	0 2 12 14 30 32 48 50 60 62	-865832768318
TPT(14)	2564311920775158527	0 2 24 26 30 32 54 56 72 74 162 164 180 182	-489860888030
SPT(16)	2564312409770455433	0 8 18 74 78 110 116 138 206 228 234 266 270 326 336 344	-865591124
STPT(12)	2564312876236344377	0 2 42 44 72 74 102 104 132 134 174 176	465600297820
SPT(16)	2564313262815211199	0 12 14 24 74 80 90 194 300 404 414 420 470 480 482 494	852179164642
SPT(16)	2564313323921791913	0 30 48 98 108 126 158 170 186 198 230 248 258 308 326 356	913285745356
SPT(16)	2564313373841084891	0 2 18 20 32 50 60 90 128 158 168 186 198 200 216 218	963205038334
SPT(16)	2564313556906484413	0 6 16 24 108 118 120 130 174 184 186 196 280 288 298 304	1146270437856