Prime p₀= 399496377161627233 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 114 12 24 6 14 16 14 6 24 12 114 4 (?)
a_n: 0 4 118 130 154 160 174 190 204 210 234 246 360 364
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: 364
Found by: Cruncher Pete
db: batch=70, k=14, 4 114 12 24 6 14 16

SPT(14)	399496262583377207	0 26 54 80 174 176 180 206 210 212 306 332 360 386	-114578250026
TPT(12)	399496271092903079	0 2 18 20 60 62 102 104 132 134 138 140	-106068724154
TPT(12)	399496281178502069	0 2 72 74 78 80 102 104 168 170 408 410	-95983125164
SPT(14)	399496284062804749	0 34 58 88 100 112 120 142 150 162 174 204 228 262	-93098822484
TPT(12)	399496327580332571	0 2 30 32 96 98 120 122 180 182 198 200	-49581294662
SPT(14)	399496328185178167	0 6 10 72 114 126 132 154 160 172 214 276 280 286	-48976449066
TPT(14)	399496382492656871	0 2 30 32 78 80 90 92 120 122 198 200 240 242	5331029638
TPT(12)	399496394074368749	0 2 12 14 90 92 132 134 222 224 252 254	16912741516
SPT(14)	399496403028034439	0 44 102 114 140 168 194 228 254 282 308 320 378 422	25866407206
TPT(12)	399496410374136239	0 2 48 50 132 134 138 140 150 152 162 164	33212509006
SPT(14)	399496427383939031	0 2 18 42 48 60 80 90 110 122 128 152 168 170	50222311798