Prime p₀= 186576866199512179 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 18 16 8 42 4 86 4 86 4 42 8 16 18 (?)
a_n: 0 18 34 42 84 88 174 178 264 268 310 318 334 352
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: 352
Found by: desktop64
db: batch=69, k=14, 18 16 8 42 4 86 4

SPT(16)	186576802361501977	0 22 34 36 84 90 94 102 154 162 166 172 220 222 234 256	-63838010202
SPT(14)	186576814524072173	0 14 38 48 50 66 126 158 218 234 236 246 270 284	-51675440006
SPT(14)	186576834385988413	0 48 64 76 94 118 136 138 156 180 198 210 226 274	-31813523766
TPT(12)	186576839536835789	0 2 18 20 42 44 108 110 192 194 222 224	-26662676390
SPT(14)	186576855352675981	0 30 42 46 58 76 96 202 222 240 252 256 268 298	-10846836198
SPT(14)	186576860709617251	0 30 40 46 60 76 82 90 96 112 126 132 142 172	-5489894928
TPT(12)	186576878117500679	0 2 48 50 72 74 90 92 180 182 240 242	11917988500
STPT(10)	186576884459771129	0 2 18 20 30 32 42 44 60 62	18260258950
SPT(14)	186576887288495369	0 14 24 44 50 80 164 168 252 282 288 308 318 332	21088983190
SPT(14)	186576893987612963	0 14 24 44 50 66 80 90 104 120 126 146 156 170	27788100784
SPT(14)	186576908542284541	0 30 42 78 130 150 168 172 190 210 262 298 310 340	42342772362