Prime p₀= 262711729948528589 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 54 6 24 14 16 44 46 44 16 14 24 6 54 (?)
a_n: 0 54 60 84 98 114 158 204 248 264 278 302 308 362
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: 362
Found by: Vitalii Koshura
db: batch=69, k=14, 54 6 24 14 16 44 46

SPT(14)	262711691420575349	0 2 30 50 78 102 108 134 140 164 192 212 240 242	-38527953240
SPT(14)	262711693781226659	0 8 60 84 102 104 134 138 168 170 188 212 264 272	-36167301930
SPT(14)	262711703788253899	0 34 58 100 112 132 154 168 190 210 222 264 288 322	-26160274690
SPT(14)	262711708504054223	0 56 96 98 110 144 200 204 260 294 306 308 348 404	-21444474366
SPT(14)	262711720837430581	0 6 12 22 30 58 70 78 90 118 126 136 142 148	-9111098008
TPT(12)	262711729380611051	0 2 30 32 36 38 78 80 90 92 168 170	-567917538
SPT(14)	262711742042621737	0 10 24 42 52 64 76 120 132 144 154 172 186 196	12094093148
TPT(12)	262711749360624071	0 2 6 8 126 128 180 182 198 200 228 230	19412095482
SPT(14)	262711750801107019	0 10 18 34 90 100 124 144 168 178 234 250 258 268	20852578430
SPT(14)	262711754454598901	0 8 36 50 62 138 152 156 170 246 258 272 300 308	24506070312
SPT(16)	262711764620700173	0 6 38 50 56 108 120 146 150 176 188 240 246 258 290 296	34672171584