Prime p₀= 2111969615941373423 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 22 36 20 4 6 12 2 12 6 4 20 36 22 56 (?)
a_n: 0 56 78 114 134 138 144 156 158 170 176 180 200 236 258 314
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: 314
Found by: vaughan
db: batch=80, k=16, 56 22 36 20 4 6 12 2

SPT(16)	2111968562522008051	0 12 42 88 112 148 196 198 220 222 270 306 330 376 406 418	-1053419365372
STPT(10)	2111968593184291727	0 2 54 56 72 74 90 92 144 146	-1022757081696
SPT(16)	2111968649624436919	0 24 30 64 94 130 138 142 150 154 162 198 228 262 268 292	-966316936504
STPT(10)	2111968688468049239	0 2 48 50 90 92 132 134 180 182	-927473324184
SPT(16)	2111968802605020343	0 4 54 108 124 138 150 234 274 358 370 384 400 454 504 508	-813336353080
STPT(10)	2111969440007258717	0 2 42 44 132 134 222 224 264 266	-175934114706
SPT(16)	2111969838028881227	0 60 80 122 132 134 176 224 312 360 402 404 414 456 476 536	222087507804
SPT(16)	2111970095318920757	0 6 20 30 62 90 96 174 182 260 266 294 326 336 350 356	479377547334
STPT(10)	2111970210428998187	0 2 90 92 102 104 114 116 204 206	594487624764
STPT(10)	2111970349199386601	0 2 30 32 78 80 126 128 156 158	733258013178
TPT(14)	2111970584344454879	0 2 12 14 108 110 192 194 432 434 468 470 600 602	968403081456