Prime p₀= 79586676950317991 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 6 18 6 10 14 16 14 10 6 18 6 32 (?)
a_n: 0 32 38 56 62 72 86 102 116 126 132 150 156 188
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: 188
Found by: JonS
db: batch=67, k=14, 32 6 18 6 10 14 16

SPT(14)	79586634498728977	0 12 16 46 54 90 114 142 166 202 210 240 244 256	-42451589014
SPT(14)	79586643706474279	0 12 22 42 60 70 72 88 90 100 118 138 148 160	-33243843712
SPT(14)	79586650759841353	0 64 76 120 198 228 240 274 286 316 394 438 450 514	-26190476638
SPT(14)	79586663445972607	0 4 22 30 36 42 70 96 124 130 136 144 162 166	-13504345384
SPT(14)	79586668346122237	0 10 40 66 70 72 94 102 124 126 130 156 186 196	-8604195754
TPT(12)	79586676710338751	0 2 18 20 30 32 156 158 186 188 228 230	-239979240
TPT(12)	79586695507993799	0 2 102 104 138 140 180 182 210 212 240 242	18557675808
TPT(12)	79586698410267857	0 2 12 14 30 32 54 56 90 92 240 242	21459949866
TPT(12)	79586705152983617	0 2 30 32 54 56 180 182 210 212 222 224	28202665626
SPT(14)	79586706205082849	0 14 50 80 90 128 132 170 174 212 222 252 288 302	29254764858
TPT(12)	79586709973583009	0 2 30 32 42 44 138 140 150 152 240 242	33023265018