Prime p₀= 313972110201415433 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 50 42 22 18 92 34 92 18 22 42 50 6 (?)
a_n: 0 6 56 98 120 138 230 264 356 374 396 438 488 494
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: 494
Found by: desktop64
db: batch=70, k=14, 6 50 42 22 18 92 34

SPT(14)	313972057799556581	0 12 68 96 132 150 176 222 248 266 302 330 386 398	-52401858852
SPT(14)	313972062388910641	0 18 28 42 48 66 70 108 112 130 136 150 160 178	-47812504792
TPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-24376644636
SPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-24376644636
STPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-24376644636
SPT(14)	313972104434623493	0 14 26 56 84 108 110 174 176 200 228 258 270 284	-5766791940
TPT(12)	313972131735655229	0 2 42 44 72 74 132 134 180 182 270 272	21534239796
TPT(12)	313972140004960049	0 2 30 32 72 74 90 92 132 134 222 224	29803544616
SPT(16)	313972154631658297	0 22 42 52 106 144 150 154 162 166 172 210 264 274 294 316	44430242864
TPT(12)	313972170688704191	0 2 30 32 108 110 180 182 186 188 276 278	60487288758
SPT(14)	313972191047312659	0 24 52 64 70 82 124 168 210 222 228 240 268 292	80845897226