Prime p₀= 582354919299559583 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 6 30 56 24 18 58 18 24 56 30 6 24 (?)
a_n: 0 24 30 60 116 140 158 216 234 258 314 344 350 374
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: 374
Found by: mcf2020
db: batch=71, k=14, 24 6 30 56 24 18 58

SPT(14)	582354857927383127	0 6 20 30 42 60 80 192 212 230 242 252 266 272	-61372176456
SPT(14)	582354872743497643	0 6 18 34 88 136 150 154 168 216 270 286 298 304	-46556061940
SPT(14)	582354887414504767	0 10 24 52 70 72 76 90 94 96 114 142 156 166	-31885054816
SPT(14)	582354912116267039	0 84 110 140 158 164 194 198 228 234 252 282 308 392	-7183292544
TPT(12)	582354916874587391	0 2 36 38 66 68 78 80 96 98 150 152	-2424972192
SPT(14)	582354918145355557	0 16 42 54 90 154 166 210 222 286 322 334 360 376	-1154204026
SPT(14)	582354922561404829	0 12 102 130 154 172 174 238 240 258 282 310 400 412	3261845246
SPT(14)	582354943257150421	0 12 18 22 96 100 102 106 108 112 186 190 196 208	23957590838
SPT(14)	582354944373369043	0 6 28 34 90 108 114 130 136 154 210 216 238 244	25073809460
TPT(12)	582354947592251081	0 2 48 50 120 122 138 140 150 152 210 212	28292691498
SPT(14)	582354956474744459	0 12 44 80 90 128 164 198 234 272 282 318 350 362	37175184876