Prime p₀= 12176845723308811 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 24 66 6 30 24 24 30 6 66 24 6 (?)
a_n: 0 6 30 96 102 132 156 180 210 216 282 306 312
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 312
Found by: crashtech
db: batch=62, k=13, 6 24 66 6 30 24

SPT(14)	12176834444366411	0 18 50 56 78 80 122 156 198 200 222 228 260 278	-11278942400
TPT(12)	12176834461700339	0 2 12 14 30 32 168 170 198 200 378 380	-11261608472
SPT(14)	12176839879310651	0 12 18 32 96 102 140 168 206 212 276 290 296 308	-5843998160
SPT(14)	12176842338024571	0 12 60 88 96 120 126 142 148 172 180 208 256 268	-3385284240
SPT(14)	12176842505862907	0 12 34 54 70 120 124 132 136 186 202 222 244 256	-3217445904
SPT(14)	12176844397708987	0 12 16 40 42 54 72 94 112 124 126 150 154 166	-1325599824
SPT(14)	12176846048324803	0 6 16 24 54 76 118 216 258 280 310 318 328 334	325015992
SPT(14)	12176864501863573	0 18 24 46 66 106 108 166 168 208 228 250 256 274	18778554762
TPT(12)	12176866341587459	0 2 12 14 30 32 78 80 150 152 198 200	20618278648
SPT(14)	12176879445563171	0 6 42 62 66 92 96 206 210 236 240 260 296 302	33722254360
TPT(12)	12176887795823519	0 2 72 74 108 110 138 140 150 152 270 272	42072514708