Prime p₀= 462025812120733243 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 2 58 32 24 10 74 10 24 32 58 2 4 (?)
a_n: 0 4 6 64 96 120 130 204 214 238 270 328 330 334
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: 334
Found by: Vit Kliber
db: batch=70, k=14, 4 2 58 32 24 10 74

SPT(14)	462025735092633221	0 6 20 56 90 110 122 156 168 188 222 258 272 278	-77028100022
SPT(14)	462025740370168187	0 2 12 36 42 92 126 140 174 224 230 254 264 266	-71750565056
SPT(14)	462025756789600987	0 12 22 120 130 154 210 244 300 324 334 432 442 454	-55331132256
TPT(12)	462025768047338459	0 2 18 20 30 32 72 74 150 152 180 182	-44073394784
SPT(14)	462025775833792867	0 4 22 30 60 64 82 162 180 184 214 222 240 244	-36286940376
TPT(12)	462025787307661571	0 2 66 68 78 80 126 128 150 152 168 170	-24813071672
SPT(14)	462025812779505043	0 6 28 84 88 90 108 136 154 156 160 216 238 244	658771800
TPT(12)	462025857338934191	0 2 6 8 78 80 156 158 186 188 246 248	45218200948
TPT(12)	462025864532000609	0 2 12 14 42 44 78 80 192 194 240 242	52411267366
SPT(16)	462025886566204871	0 8 32 50 56 60 66 78 80 92 98 102 108 126 150 158	74445471628
SPT(14)	462025892265051889	0 40 42 52 54 88 102 130 144 178 180 190 192 232	80144318646