Prime p₀= 27232381752965261 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 28 62 10 8 6 40 6 8 10 62 28 32 (?)
a_n: 0 32 60 122 132 140 146 186 192 200 210 272 300 332
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: 332
Found by: Cruncher Pete
db: batch=65, k=14, 32 28 62 10 8 6 40

TPT(12)	27232294623123587	0 2 60 62 72 74 84 86 90 92 174 176	-87129841674
SPT(14)	27232295100831973	0 10 28 40 48 66 120 136 190 208 216 228 246 256	-86652133288
SPT(14)	27232295759884447	0 4 24 30 40 42 72 124 154 156 166 172 192 196	-85993080814
SPT(14)	27232332931584061	0 22 42 66 100 112 130 168 186 198 232 256 276 298	-48821381200
SPT(14)	27232356708114653	0 8 30 54 60 98 146 168 216 254 260 284 306 314	-25044850608
SPT(14)	27232379867606897	0 74 104 114 120 132 146 210 224 236 242 252 282 356	-1885358364
SPT(14)	27232398784000589	0 60 72 78 90 92 128 132 168 170 182 188 200 260	17031035328
TPT(12)	27232405290697877	0 2 54 56 72 74 84 86 114 116 132 134	23537732616
SPT(14)	27232405439533951	0 10 16 18 66 72 100 138 166 172 220 222 228 238	23686568690
SPT(14)	27232416127091261	0 32 62 78 108 150 212 246 308 350 380 396 426 458	34374126000
SPT(14)	27232428670861867	0 4 12 40 180 190 202 222 234 244 384 412 420 424	46917896606