Prime p₀= 274912091693234927 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 30 20 36 34 38 22 38 34 36 20 30 24 (?)
a_n: 0 24 54 74 110 144 182 204 242 276 312 332 362 386
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: 386
Found by: davidBAM
db: batch=69, k=14, 24 30 20 36 34 38 22

SPT(16)	274912070614035329	0 38 62 90 102 132 150 164 168 182 200 230 242 270 294 332	-21079199598
SPT(14)	274912071307870187	0 2 14 24 42 60 72 74 86 104 122 132 144 146	-20385364740
TPT(12)	274912073766165917	0 2 54 56 90 92 144 146 252 254 264 266	-17927069010
SPT(14)	274912081449955571	0 56 62 72 98 110 140 198 228 240 266 276 282 338	-10243279356
SPT(14)	274912082648115223	0 6 54 100 124 154 156 178 180 210 234 280 328 334	-9045119704
SPT(14)	274912089360576431	0 26 32 80 126 150 206 282 338 362 408 456 462 488	-2332658496
SPT(14)	274912114261901773	0 16 18 48 60 76 90 196 210 226 238 268 270 286	22568666846
SPT(14)	274912157924210707	0 6 42 46 52 60 66 70 76 84 90 94 130 136	66230975780
SPT(14)	274912185573446747	0 14 20 62 72 104 110 204 210 242 252 294 300 314	93880211820
SPT(14)	274912188979158041	0 20 36 90 108 150 156 230 236 278 296 350 366 386	97285923114
SPT(14)	274912193072600203	0 30 54 120 130 136 156 178 198 204 214 280 304 334	101379365276