Prime p₀= 129512301082792003 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 14 18 112 6 50 16 50 6 112 18 14 4 (?)
a_n: 0 4 18 36 148 154 204 220 270 276 388 406 420 424
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: 424
Found by: L@MiR
db: batch=67, k=14, 4 14 18 112 6 50 16

TPT(12)	129512262502459787	0 2 12 14 30 32 54 56 84 86 222 224	-38580332216
SPT(14)	129512264960108837	0 6 30 42 50 72 86 120 134 156 164 176 200 206	-36122683166
TPT(12)	129512266474692719	0 2 72 74 102 104 258 260 270 272 408 410	-34608099284
SPT(14)	129512273931121937	0 30 50 92 102 144 162 164 182 224 234 276 296 326	-27151670066
SPT(14)	129512282660509703	0 14 36 80 104 114 138 206 230 240 264 308 330 344	-18422282300
SPT(16)	129512291979226459	0 28 30 52 58 72 84 90 112 118 130 144 150 172 174 202	-9103565544
TPT(12)	129512306810048807	0 2 54 56 150 152 204 206 360 362 390 392	5727256804
SPT(14)	129512309317616789	0 48 50 78 90 120 128 174 182 212 224 252 254 302	8234824786
SPT(14)	129512331371839271	0 38 72 78 98 170 176 192 198 270 290 296 330 368	30289047268
SPT(14)	129512336537060977	0 24 36 64 112 114 166 180 232 234 282 310 322 346	35454268974
SPT(14)	129512353656681211	0 28 40 72 100 112 118 132 138 150 178 210 222 250	52573889208