Prime p₀= 36565958785203737 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 12 30 10 6 36 74 36 6 10 30 12 2 (?)
a_n: 0 2 14 44 54 60 96 170 206 212 222 252 264 266
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: 266
Found by: stoneageman
db: batch=65, k=14, 2 12 30 10 6 36 74

SPT(14)	36565921684387097	0 2 6 32 66 90 116 216 242 266 300 326 330 332	-37100816640
SPT(14)	36565926823699969	0 48 82 124 150 190 204 208 222 262 288 330 364 412	-31961503768
SPT(14)	36565929088902709	0 48 60 84 90 118 172 210 264 292 298 322 334 382	-29696301028
SPT(14)	36565938831253277	0 6 26 50 56 66 120 206 260 270 276 300 320 326	-19953950460
SPT(14)	36565953663190891	0 10 46 58 102 112 136 162 186 196 240 252 288 298	-5122012846
SPT(14)	36565954242156431	0 56 96 108 126 180 198 218 236 290 308 320 360 416	-4543047306
SPT(14)	36565980443210969	0 38 50 72 80 102 122 168 188 210 218 240 252 290	21658007232
SPT(14)	36565997592742601	0 8 12 18 90 92 158 162 228 230 302 308 312 320	38807538864
SPT(14)	36566001562805437	0 16 22 24 42 46 52 84 90 94 112 114 120 136	42777601700
TPT(12)	36566010538554017	0 2 24 26 54 56 120 122 204 206 210 212	51753350280
SPT(14)	36566014332941749	0 24 28 42 64 82 84 88 90 108 130 144 148 172	55547738012