Prime p₀= 235571099772122267 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 58 24 12 18 12 44 12 18 12 24 58 2 (?)
a_n: 0 2 60 84 96 114 126 170 182 200 212 236 294 296
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: 296
Found by: Megacruncher
db: batch=69, k=14, 2 58 24 12 18 12 44

SPT(14)	235571019053480933	0 20 30 44 56 140 146 168 174 258 270 284 294 314	-80718641334
TPT(12)	235571050703459489	0 2 18 20 132 134 198 200 210 212 270 272	-49068662778
SPT(14)	235571051066823457	0 24 46 52 60 96 102 244 250 286 294 300 322 346	-48705298810
STPT(10)	235571059897970891	0 2 6 8 48 50 90 92 96 98	-39874151376
SPT(14)	235571082444254951	0 6 30 42 56 72 80 108 116 132 146 158 182 188	-17327867316
SPT(14)	235571095874177419	0 12 28 82 90 100 118 222 240 250 258 312 328 340	-3897944848
SPT(14)	235571124320446333	0 4 28 34 40 58 66 118 126 144 150 156 180 184	24548324066
SPT(14)	235571127820895287	0 4 22 46 72 82 84 142 144 154 180 204 222 226	28048773020
TPT(14)	235571144535577349	0 2 42 44 48 50 78 80 120 122 168 170 252 254	44763455082
SPT(14)	235571157732629113	0 64 66 84 108 136 150 154 168 196 220 238 240 304	57960506846
SPT(14)	235571183437426427	0 6 42 120 134 162 164 192 194 222 236 314 350 356	83665304160