Prime p₀= 237020840436889811 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 50 12 18 24 28 8 28 24 18 12 50 18 (?)
a_n: 0 18 68 80 98 122 150 158 186 210 228 240 290 308
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: 308
Found by: emoga
db: batch=69, k=14, 18 50 12 18 24 28 8

SPT(14)	237020748469190407	0 30 52 82 144 184 196 210 222 262 324 354 376 406	-91967699404
SPT(16)	237020762439590869	0 28 70 78 88 108 112 132 148 168 172 192 202 210 252 280	-77997298942
SPT(14)	237020771096373637	0 64 84 132 154 174 196 240 262 282 304 352 372 436	-69340516174
SPT(14)	237020809242890789	0 2 30 44 110 134 140 174 180 204 270 284 312 314	-31193999022
SPT(14)	237020816447831281	0 12 22 76 90 126 138 160 172 208 222 276 286 298	-23989058530
SPT(14)	237020818915583821	0 40 42 46 66 82 88 150 156 172 192 196 198 238	-21521305990
SPT(14)	237020855485792109	0 14 20 90 98 144 200 228 284 330 338 408 414 428	15048902298
SPT(14)	237020860423526227	0 12 34 60 76 102 124 132 154 180 196 222 244 256	19986636416
SPT(14)	237020957136121943	0 26 30 50 68 74 110 144 180 186 204 224 228 254	116699232132
SPT(14)	237020974418370139	0 34 72 100 130 132 202 240 310 312 342 370 408 442	133981480328
SPT(14)	237020978331703861	0 12 28 36 70 88 106 162 180 198 232 240 256 268	137894814050