Prime p₀= 316752451579853299 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 28 24 32 84 6 16 62 16 6 84 32 24 28 (?)
a_n: 0 28 52 84 168 174 190 252 268 274 358 390 414 442
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: 442
Found by: desktop64
db: batch=70, k=14, 28 24 32 84 6 16 62

SPT(14)	316752338691026401	0 42 48 108 126 142 172 216 246 262 280 340 346 388	-112888826898
SPT(14)	316752366174167713	0 6 18 30 66 118 136 150 168 220 256 268 280 286	-85405685586
TPT(12)	316752381600120617	0 2 30 32 54 56 60 62 180 182 282 284	-69979732682
SPT(14)	316752401906478079	0 12 24 40 64 70 120 124 174 180 204 220 232 244	-49673375220
SPT(14)	316752415405950521	0 26 30 60 96 116 152 216 252 272 308 338 342 368	-36173902778
SPT(14)	316752441061939249	0 28 48 70 78 82 180 232 330 334 342 364 384 412	-10517914050
SPT(14)	316752461493320911	0 10 22 36 48 78 88 90 100 130 142 156 168 178	9913467612
SPT(14)	316752462056916629	0 8 24 74 78 104 150 182 228 254 258 308 324 332	10477063330
SPT(14)	316752465173950679	0 20 30 38 74 174 188 210 224 324 360 368 378 398	13594097380
SPT(14)	316752490697101471	0 18 48 60 70 136 148 150 162 228 238 250 280 298	39117248172
SPT(14)	316752493207927717	0 30 40 54 64 90 96 100 106 132 142 156 166 196	41628074418