Prime p₀= 79586668346122237 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 10 30 26 4 2 22 8 22 2 4 26 30 10 (?)
a_n: 0 10 40 66 70 72 94 102 124 126 130 156 186 196
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: 196
Found by: JonS
db: batch=67, k=14, 10 30 26 4 2 22 8

SPT(14)	79586593466888107	0 6 22 40 54 90 106 150 166 202 216 234 250 256	-74879234130
TPT(12)	79586609646295091	0 2 30 32 90 92 96 98 156 158 168 170	-58699827146
SPT(14)	79586634498728977	0 12 16 46 54 90 114 142 166 202 210 240 244 256	-33847393260
SPT(14)	79586643706474279	0 12 22 42 60 70 72 88 90 100 118 138 148 160	-24639647958
SPT(14)	79586650759841353	0 64 76 120 198 228 240 274 286 316 394 438 450 514	-17586280884
SPT(14)	79586663445972607	0 4 22 30 36 42 70 96 124 130 136 144 162 166	-4900149630
TPT(12)	79586676710338751	0 2 18 20 30 32 156 158 186 188 228 230	8364216514
SPT(14)	79586676950317991	0 32 38 56 62 72 86 102 116 126 132 150 156 188	8604195754
TPT(12)	79586695507993799	0 2 102 104 138 140 180 182 210 212 240 242	27161871562
TPT(12)	79586698410267857	0 2 12 14 30 32 54 56 90 92 240 242	30064145620
TPT(12)	79586705152983617	0 2 30 32 54 56 180 182 210 212 222 224	36806861380