Prime p₀= 167363785927653989 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 36 34 50 10 6 14 40 14 6 10 50 34 36 14 (?)
a_n: 0 14 50 84 134 144 150 164 204 218 224 234 284 318 354 368
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: 368
Found by: Ralfy
db: batch=67, k=16, 14 36 34 50 10 6 14 40

SPT(14)	167363756238035333	0 96 98 104 110 144 168 236 260 294 300 306 308 404	-29689618656
SPT(14)	167363758447618561	0 22 30 70 126 132 136 306 310 316 372 412 420 442	-27480035428
SPT(14)	167363759670928451	0 12 68 92 108 176 182 246 252 320 336 360 416 428	-26256725538
SPT(14)	167363762215832683	0 48 88 90 100 118 130 156 168 186 196 198 238 286	-23711821306
SPT(16)	167363765299415591	0 48 86 92 110 158 162 168 230 236 240 288 306 312 350 398	-20628238398
TPT(12)	167363783699042081	0 2 6 8 90 92 138 140 228 230 426 428	-2228611908
SPT(14)	167363791995607759	0 34 48 54 58 70 138 154 222 234 238 244 258 292	6067953770
SPT(14)	167363792012305717	0 54 64 66 96 100 156 274 330 334 364 366 376 430	6084651728
SPT(14)	167363793424399981	0 22 28 58 70 82 96 142 156 168 180 210 216 238	7496745992
SPT(14)	167363852528785019	0 18 32 48 50 74 90 92 108 132 134 150 164 182	66601131030
SPT(14)	167363888677106267	0 2 12 72 80 86 104 132 150 156 164 224 234 236	102749452278