Prime p₀= 341476353287909969 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 30 12 66 26 48 16 26 16 48 26 66 12 30 (?)
a_n: 0 30 42 108 134 182 198 224 240 288 314 380 392 422
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: 422
Found by: Cruncher Pete
db: batch=70, k=14, 30 12 66 26 48 16 26

SPT(14)	341476293440013439	0 52 82 100 108 142 154 168 180 214 222 240 270 322	-59847896530
SPT(14)	341476295618180903	0 6 8 50 96 108 116 168 176 188 234 276 278 284	-57669729066
SPT(14)	341476301996490979	0 10 28 52 82 90 108 142 160 168 198 222 240 250	-51291418990
SPT(14)	341476317143091661	0 12 42 48 66 76 88 90 102 112 130 136 166 178	-36144818308
TPT(12)	341476322714536949	0 2 18 20 78 80 102 104 120 122 162 164	-30573373020
SPT(14)	341476337694977477	0 80 84 116 150 170 186 194 210 230 264 296 300 380	-15592932492
SPT(14)	341476374413147257	0 16 60 70 82 84 102 154 172 174 186 196 240 256	21125237288
TPT(12)	341476376736549737	0 2 12 14 90 92 102 104 114 116 180 182	23448639768
SPT(14)	341476395579710509	0 10 28 48 70 100 112 138 150 180 202 222 240 250	42291800540
SPT(14)	341476415674804181	0 2 36 38 50 56 62 66 72 78 90 92 126 128	62386894212
SPT(14)	341476433221095779	0 32 48 78 98 102 104 138 140 144 164 194 210 242	79933185810