Prime p₀= 518724376750057787 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 22 24 14 36 4 8 4 36 14 24 22 14 (?)
a_n: 0 14 36 60 74 110 114 122 126 162 176 200 222 236
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: 236
Found by: scrap
db: batch=71, k=14, 14 22 24 14 36 4 8

SPT(16)	518724339792083519	0 2 42 80 110 164 168 174 188 194 198 252 282 320 360 362	-36957974268
SPT(14)	518724344601764467	0 46 52 66 90 96 112 144 160 166 190 204 210 256	-32148293320
SPT(14)	518724349892674397	0 24 42 54 62 80 104 132 156 174 182 194 212 236	-26857383390
SPT(14)	518724360304359533	0 36 78 86 90 108 218 288 398 416 420 428 470 506	-16445698254
SPT(14)	518724364437301831	0 18 42 90 120 130 138 190 198 208 238 286 310 328	-12312755956
SPT(14)	518724367258601593	0 40 48 60 78 90 96 118 124 136 154 166 174 214	-9491456194
SPT(14)	518724386607642001	0 12 22 30 40 52 72 118 138 150 160 168 178 190	9857584214
SPT(14)	518724429414033533	0 26 54 80 104 126 150 224 248 270 294 320 348 374	52663975746
SPT(14)	518724438399161923	0 40 60 76 78 144 166 168 190 256 258 274 294 334	61649104136
SPT(14)	518724445349793071	0 6 20 32 48 86 90 98 102 140 156 168 182 188	68599735284
SPT(14)	518724465267494399	0 2 18 62 104 140 144 158 162 198 240 284 300 302	88517436612