Prime p₀= 425582314983121687 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 40 6 84 14 52 68 52 14 84 6 40 6 (?)
a_n: 0 6 46 52 136 150 202 270 322 336 420 426 466 472
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: Cruncher Pete
db: batch=70, k=14, 6 40 6 84 14 52 68

SPT(14)	425582258880679273	0 6 18 24 64 66 70 84 88 90 130 136 148 154	-56102442414
SPT(14)	425582276205854267	0 14 24 66 80 86 104 156 174 180 194 236 246 260	-38777267420
TPT(12)	425582284293944801	0 2 78 80 90 92 126 128 156 158 168 170	-30689176886
SPT(16)	425582295724669729	0 22 42 88 90 100 112 130 132 150 162 172 174 220 240 262	-19258451958
SPT(16)	425582297117592101	0 12 26 42 48 68 90 152 156 218 240 260 266 282 296 308	-17865529586
TPT(12)	425582309885331827	0 2 60 62 90 92 114 116 294 296 384 386	-5097789860
STPT(10)	425582332862682179	0 2 18 20 30 32 42 44 60 62	17879560492
SPT(16)	425582336514368779	0 22 48 64 72 100 102 114 118 130 132 160 168 184 210 232	21531247092
SPT(16)	425582345234830561	0 22 60 66 70 112 136 142 156 162 186 228 232 238 276 298	30251708874
TPT(12)	425582377991934179	0 2 30 32 78 80 168 170 228 230 240 242	63008812492
TPT(12)	425582455634813129	0 2 30 32 78 80 102 104 132 134 210 212	140651691442