Prime p₀= 427658050342363969 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 66 82 42 14 6 4 6 14 42 82 66 24 (?)
a_n: 0 24 90 172 214 228 234 238 244 258 300 382 448 472
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: 472
Found by: Theadalus
db: batch=70, k=14, 24 66 82 42 14 6 4

SPT(14)	427658006658738091	0 88 108 112 130 132 148 150 166 168 186 190 210 298	-43683625878
SPT(16)	427658012172710719	0 22 52 60 70 88 102 124 168 190 204 222 232 240 270 292	-38169653250
SPT(14)	427658012477790959	0 12 30 60 62 90 132 140 182 210 212 242 260 272	-37864573010
SPT(14)	427658038861023637	0 34 46 142 144 210 234 262 286 352 354 450 462 496	-11481340332
SPT(14)	427658047418321593	0 30 40 48 84 90 124 144 178 184 220 228 238 268	-2924042376
SPT(14)	427658048426401237	0 34 46 64 82 96 120 256 280 294 312 330 342 376	-1915962732
SPT(14)	427658050380174197	0 24 26 36 42 72 80 96 104 134 140 150 152 176	37810228
TPT(12)	427658074082818919	0 2 18 20 30 32 60 62 72 74 138 140	23740454950
SPT(14)	427658100383588453	0 26 36 54 56 98 176 198 276 318 320 338 348 374	50041224484
TPT(12)	427658109537684929	0 2 72 74 78 80 180 182 198 200 288 290	59195320960
TPT(12)	427658131430563127	0 2 42 44 90 92 132 134 150 152 222 224	81088199158