Prime p₀= 79586663445972607 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 18 8 6 6 28 26 28 6 6 8 18 4 (?)
a_n: 0 4 22 30 36 42 70 96 124 130 136 144 162 166
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: 166
Found by: JonS
db: batch=67, k=14, 4 18 8 6 6 28 26

TPT(12)	79586580752898941	0 2 66 68 96 98 138 140 150 152 276 278	-82693073666
SPT(14)	79586593466888107	0 6 22 40 54 90 106 150 166 202 216 234 250 256	-69979084500
TPT(12)	79586609646295091	0 2 30 32 90 92 96 98 156 158 168 170	-53799677516
SPT(14)	79586634498728977	0 12 16 46 54 90 114 142 166 202 210 240 244 256	-28947243630
SPT(14)	79586643706474279	0 12 22 42 60 70 72 88 90 100 118 138 148 160	-19739498328
SPT(14)	79586650759841353	0 64 76 120 198 228 240 274 286 316 394 438 450 514	-12686131254
SPT(14)	79586668346122237	0 10 40 66 70 72 94 102 124 126 130 156 186 196	4900149630
TPT(12)	79586676710338751	0 2 18 20 30 32 156 158 186 188 228 230	13264366144
SPT(14)	79586676950317991	0 32 38 56 62 72 86 102 116 126 132 150 156 188	13504345384
TPT(12)	79586695507993799	0 2 102 104 138 140 180 182 210 212 240 242	32062021192
TPT(12)	79586698410267857	0 2 12 14 30 32 54 56 90 92 240 242	34964295250