Prime p₀= 186773996208505691 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 32 18 16 68 28 2 28 68 16 18 32 6 (?)
a_n: 0 6 38 56 72 140 168 170 198 266 282 300 332 338
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: 338
Found by: desktop64
db: batch=69, k=14, 6 32 18 16 68 28 2

SPT(14)	186773968003805971	0 18 22 60 70 120 172 246 298 348 358 396 400 418	-28204699720
SPT(14)	186773978454944327	0 12 24 44 62 122 144 152 174 234 252 272 284 296	-17753561364
SPT(14)	186773987174346263	0 20 24 80 84 98 108 206 216 230 234 290 294 314	-9034159428
TPT(12)	186773995019390069	0 2 12 14 18 20 30 32 102 104 132 134	-1189115622
TPT(12)	186773995255661237	0 2 12 14 54 56 132 134 240 242 294 296	-952844454
SPT(14)	186773995374398437	0 10 22 42 76 90 124 132 166 180 214 234 246 256	-834107254
TPT(12)	186774007195129889	0 2 78 80 132 134 150 152 162 164 210 212	10986624198
SPT(14)	186774014683812203	0 8 20 26 30 68 110 114 156 194 198 204 216 224	18475306512
TPT(14)	186774042943342031	0 2 6 8 78 80 90 92 156 158 240 242 258 260	46734836340
SPT(14)	186774058985221087	0 42 46 52 72 90 100 102 112 130 150 156 160 202	62776715396
SPT(14)	186774064075846837	0 16 46 76 90 144 156 160 172 226 240 270 300 316	67867341146