Prime p₀= 115356592684049779 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 40 24 18 2 16 74 16 2 18 24 40 18 (?)
a_n: 0 18 58 82 100 102 118 192 208 210 228 252 292 310
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: 310
Found by: emoga
db: batch=67, k=14, 18 40 24 18 2 16 74

SPT(14)	115356520971433451	0 12 20 62 68 86 98 210 222 240 246 288 296 308	-71712616328
SPT(14)	115356530143968653	0 8 24 38 50 78 80 138 140 168 180 194 210 218	-62540081126
SPT(14)	115356539012036407	0 82 96 130 156 166 180 196 210 220 246 280 294 376	-53672013372
TPT(12)	115356547370499161	0 2 60 62 108 110 126 128 150 152 198 200	-45313550618
TPT(14)	115356581465493857	0 2 144 146 150 152 192 194 240 242 264 266 324 326	-11218555922
TPT(12)	115356583592734607	0 2 12 14 222 224 270 272 300 302 312 314	-9091315172
SPT(14)	115356600742084253	0 6 24 54 56 66 80 114 128 138 140 170 188 194	8058034474
TPT(12)	115356606688782671	0 2 18 20 78 80 90 92 120 122 168 170	14004732892
SPT(14)	115356635168699779	0 10 24 64 82 84 100 204 220 222 240 280 294 304	42484650000
SPT(14)	115356645758781109	0 12 22 42 72 78 112 210 244 250 280 300 310 322	53074731330
TPT(12)	115356662461394609	0 2 78 80 138 140 192 194 222 224 288 290	69777344830