Prime p₀= 968461333238126657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 94 18 24 38 6 30 46 30 6 38 24 18 94 20 (?)
a_n: 0 20 114 132 156 194 200 230 276 306 312 350 374 392 486 506
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: 506
Found by: stoneageman
db: batch=76, k=16, 20 94 18 24 38 6 30 46

SPT(16)	968460403403799629	0 32 42 72 74 92 98 102 110 114 120 138 140 170 180 212	-929834327028
STPT(10)	968460638088644291	0 2 90 92 108 110 126 128 216 218	-695149482366
TPT(14)	968460824822942249	0 2 12 14 78 80 108 110 162 164 168 170 240 242	-508415184408
STPT(10)	968460946214611061	0 2 36 38 78 80 120 122 156 158	-387023515596
SPT(16)	968461263729208471	0 52 66 76 78 160 192 222 286 316 348 430 432 442 456 508	-69508918186
SPT(16)	968461267607242657	0 10 70 100 120 154 196 210 226 240 282 316 336 366 426 436	-65630884000
SPT(16)	968461699900467167	0 2 14 44 72 90 92 114 152 174 176 194 222 252 264 266	366662340510
STPT(10)	968461794121271027	0 2 30 32 42 44 54 56 84 86	460883144370
SPT(16)	968461804517061083	0 8 50 78 98 104 126 150 164 188 210 216 236 264 306 314	471278934426
STPT(10)	968461977853344641	0 2 6 8 18 20 30 32 36 38	644615217984
SPT(16)	968462029882530479	0 14 24 48 50 80 104 108 200 204 228 258 260 284 294 308	696644403822