Prime p₀= 86129433479028239 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 12 4 54 90 8 22 8 90 54 4 12 32 (?)
a_n: 0 32 44 48 102 192 200 222 230 320 374 378 390 422
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: 422
Found by: Paul
db: batch=67, k=14, 32 12 4 54 90 8 22

SPT(14)	86129398236176671	0 36 52 60 70 88 106 132 150 168 178 186 202 238	-35242851568
SPT(14)	86129408357501381	0 20 26 32 42 48 60 98 110 116 126 132 138 158	-25121526858
SPT(16)	86129409654344291	0 8 32 60 72 92 98 110 120 132 138 158 170 198 222 230	-23824683948
SPT(14)	86129413569056147	0 20 26 42 54 92 110 156 174 212 224 240 246 266	-19909972092
TPT(12)	86129420678087909	0 2 78 80 90 92 150 152 192 194 258 260	-12800940330
TPT(12)	86129421162832637	0 2 42 44 72 74 120 122 144 146 174 176	-12316195602
SPT(14)	86129439923712191	0 26 32 42 90 102 108 140 146 158 206 216 222 248	6444683952
SPT(14)	86129442964184371	0 6 42 66 72 76 96 136 156 160 166 190 226 232	9485156132
SPT(14)	86129464812837659	0 42 48 50 90 98 108 122 132 140 180 182 188 230	31333809420
SPT(14)	86129471248467419	0 2 62 68 80 108 132 170 194 222 234 240 300 302	37769439180
TPT(12)	86129476749276977	0 2 162 164 252 254 330 332 342 344 354 356	43270248738