Prime p₀= 346418265368065321 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 16 20 24 82 6 20 22 20 6 82 24 20 16 (?)
a_n: 0 16 36 60 142 148 168 190 210 216 298 322 342 358
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 358
Found by: Cruncher Pete
db: batch=70, k=14, 16 20 24 82 6 20 22

TPT(12)	346418232674399621	0 2 36 38 108 110 138 140 156 158 168 170	-32693665700
SPT(14)	346418234301124877	0 14 20 30 42 72 86 90 104 134 146 156 162 176	-31066940444
TPT(12)	346418237604009917	0 2 12 14 54 56 132 134 150 152 162 164	-27764055404
SPT(14)	346418243322301567	0 30 82 84 96 102 126 130 154 160 172 174 226 256	-22045763754
SPT(16)	346418259111611591	0 6 20 36 90 116 120 150 266 296 300 326 380 396 410 416	-6256453730
SPT(14)	346418260745611253	0 14 38 50 80 108 140 174 206 234 264 276 300 314	-4622454068
TPT(12)	346418284368321227	0 2 12 14 30 32 54 56 210 212 294 296	19000255906
SPT(14)	346418305536177053	0 26 56 90 110 116 170 186 240 246 266 300 330 356	40168111732
SPT(14)	346418332746270973	0 48 84 96 138 154 160 234 240 256 298 310 346 394	67378205652
SPT(14)	346418334920513767	0 22 42 70 72 114 142 174 202 244 246 274 294 316	69552448446
STPT(10)	346418338674196331	0 2 6 8 48 50 90 92 96 98	73306131010