Prime p₀= 131378792023822517 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 26 10 2 18 4 14 4 18 2 10 26 6 (?)
a_n: 0 6 32 42 44 62 66 80 84 102 104 114 140 146
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: 146
Found by: emoga
db: batch=67, k=14, 6 26 10 2 18 4 14

SPT(14)	131378702635385551	0 10 42 66 78 100 156 232 288 310 322 346 378 388	-89388436966
SPT(14)	131378715797714123	0 14 48 56 68 90 96 98 104 126 138 146 180 194	-76226108394
SPT(14)	131378723193645197	0 2 6 20 90 152 182 300 330 392 462 476 480 482	-68830177320
SPT(14)	131378737473749033	0 20 60 86 144 146 156 158 168 170 228 254 294 314	-54550073484
SPT(14)	131378759783533523	0 6 24 50 66 74 98 126 150 158 174 200 218 224	-32240288994
TPT(12)	131378772529632377	0 2 12 14 72 74 120 122 192 194 204 206	-19494190140
SPT(14)	131378792670100307	0 2 14 36 50 114 126 170 182 246 260 282 294 296	646277790
SPT(14)	131378796610743421	0 6 60 76 78 82 88 120 126 130 132 148 202 208	4586920904
SPT(14)	131378828751490601	0 26 30 78 98 128 156 182 210 240 260 308 312 338	36727668084
SPT(14)	131378839714909169	0 32 48 50 54 80 104 138 162 188 192 194 210 242	47691086652
TPT(12)	131378844737542091	0 2 6 8 60 62 96 98 180 182 228 230	52713719574