Prime p₀= 378623329884909479 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 6 12 38 184 30 26 30 184 38 12 6 12 (?)
a_n: 0 12 18 30 68 252 282 308 338 522 560 572 578 590
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: 590
Found by: Cruncher Pete
db: batch=70, k=14, 12 6 12 38 184 30 26

TPT(14)	378623263067473727	0 2 30 32 90 92 162 164 174 176 270 272 312 314	-66817435752
SPT(14)	378623265715142501	0 8 18 26 30 32 36 92 96 98 102 110 120 128	-64169766978
SPT(14)	378623275199240971	0 28 30 70 76 100 118 120 138 162 168 208 210 238	-54685668508
SPT(14)	378623284832214139	0 28 60 72 90 100 102 130 132 142 160 172 204 232	-45052695340
SPT(14)	378623312680413323	0 6 18 50 90 108 116 150 158 176 216 248 260 266	-17204496156
TPT(12)	378623316379820387	0 2 30 32 42 44 54 56 120 122 204 206	-13505089092
SPT(14)	378623334193588459	0 10 22 30 34 100 162 232 294 360 364 372 384 394	4308678980
SPT(14)	378623336936792063	0 20 26 36 48 78 96 98 116 146 158 168 174 194	7051882584
SPT(16)	378623374744531649	0 18 110 122 132 140 144 150 182 188 192 200 210 222 314 332	44859622170
TPT(12)	378623388421014551	0 2 6 8 36 38 66 68 126 128 150 152	58536105072
SPT(14)	378623403375437201	0 18 20 48 50 56 86 90 120 126 128 156 158 176	73490527722