Prime p₀= 115886618669454151 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 6 4 14 60 30 16 30 60 14 4 6 12 (?)
a_n: 0 12 18 22 36 96 126 142 172 232 246 250 256 268
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: 268
Found by: Vit Kliber
db: batch=67, k=14, 12 6 4 14 60 30 16

SPT(14)	115886576858335897	0 84 124 130 136 210 216 250 256 330 336 342 382 466	-41811118254
SPT(18)	115886577790524599	0 2 14 44 60 62 84 92 134 168 210 218 240 242 258 288 300 302	-40878929552
SPT(14)	115886578808630569	0 30 58 88 198 214 220 252 258 274 384 414 442 472	-39860823582
SPT(14)	115886601832820911	0 28 46 60 72 78 82 126 130 136 148 162 180 208	-16836633240
SPT(14)	115886614436493479	0 20 50 78 102 150 168 182 200 248 272 300 330 350	-4232960672
SPT(14)	115886614641502343	0 14 74 86 90 114 116 198 200 224 228 240 300 314	-4027951808
SPT(14)	115886622231803051	0 66 68 72 90 96 128 150 182 188 206 210 212 278	3562348900
SPT(14)	115886623992573281	0 12 50 80 110 116 128 150 162 168 198 228 266 278	5323119130
SPT(14)	115886625940334101	0 42 48 58 100 118 130 168 180 198 240 250 256 298	7270879950
SPT(14)	115886654536201111	0 16 82 90 112 148 166 192 210 246 268 276 342 358	35866746960
SPT(14)	115886661933627911	0 8 56 96 98 120 132 176 188 210 212 252 300 308	43264173760