Prime p₀= 316752498995034457 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 52 6 20 58 12 2 12 58 20 6 52 24 (?)
a_n: 0 24 76 82 102 160 172 174 186 244 264 270 322 346
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: 346
Found by: desktop64
db: batch=70, k=14, 24 52 6 20 58 12 2

SPT(14)	316752461493320911	0 10 22 36 48 78 88 90 100 130 142 156 168 178	-37501713546
SPT(14)	316752462056916629	0 8 24 74 78 104 150 182 228 254 258 308 324 332	-36938117828
SPT(14)	316752465173950679	0 20 30 38 74 174 188 210 224 324 360 368 378 398	-33821083778
SPT(14)	316752490697101471	0 18 48 60 70 136 148 150 162 228 238 250 280 298	-8297932986
SPT(14)	316752493207927717	0 30 40 54 64 90 96 100 106 132 142 156 166 196	-5787106740
SPT(14)	316752495576504167	0 14 116 122 164 182 192 284 294 312 354 360 462 476	-3418530290
SPT(14)	316752510391401151	0 28 42 46 96 172 196 222 246 322 372 376 390 418	11396366694
SPT(14)	316752514410267967	0 12 22 36 42 52 66 70 84 94 100 114 124 136	15415233510
TPT(12)	316752524057847791	0 2 90 92 138 140 156 158 180 182 198 200	25062813334
TPT(12)	316752524845671281	0 2 6 8 48 50 66 68 90 92 168 170	25850636824
SPT(14)	316752530664162179	0 60 110 132 140 144 158 174 188 192 200 222 272 332	31669127722