Prime p₀= 2312314733875005631 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 12 18 90 24 18 18 24 90 18 12 6 (?)
a_n: 0 6 18 36 126 150 168 186 210 300 318 330 336
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: 336
Found by: WTBroughton
db: batch=81, k=13, 6 12 18 90 24 18

SPT(16)	2312314011258459809	0 14 24 38 42 44 80 102 110 132 168 170 174 188 198 212	-722616545822
STPT(10)	2312314192141367969	0 2 42 44 60 62 78 80 120 122	-541733637662
SPT(16)	2312314210033607083	0 10 16 28 76 90 108 150 166 208 226 240 288 300 306 316	-523841398548
STPT(10)	2312314329538424969	0 2 18 20 30 32 42 44 60 62	-404336580662
STPT(10)	2312314415164109537	0 2 30 32 42 44 54 56 84 86	-318710896094
SPT(16)	2312314667463346277	0 42 44 90 96 156 162 174 182 194 200 260 266 312 314 356	-66411659354
STPT(10)	2312314950387507347	0 2 60 62 72 74 84 86 144 146	216512501716
STPT(10)	2312315075148391067	0 2 42 44 72 74 102 104 144 146	341273385436
SPT(16)	2312315215036193657	0 2 56 80 140 162 176 192 314 330 344 366 426 450 504 506	481161188026
SPT(16)	2312315603309328469	0 42 84 100 154 160 270 282 310 322 432 438 492 508 550 592	869434322838
SPT(16)	2312315811748838131	0 10 48 52 60 70 112 118 120 126 168 178 186 190 228 238	1077873832500