Prime p₀= 568817903740895801 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 38 24 18 10 8 24 4 24 8 10 18 24 38 (?)
a_n: 0 38 62 80 90 98 122 126 150 158 168 186 210 248
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: 248
Found by: marsinph
db: batch=71, k=14, 38 24 18 10 8 24 4

SPT(14)	568817767798007239	0 24 40 52 100 108 120 142 154 162 210 222 238 262	-135942888562
SPT(14)	568817817706358807	0 12 44 74 80 110 122 144 156 186 192 222 254 266	-86034536994
SPT(14)	568817838280673951	0 2 26 50 56 68 126 212 270 282 288 312 336 338	-65460221850
SPT(14)	568817847605645263	0 40 70 96 106 114 118 156 160 168 178 204 234 274	-56135250538
SPT(14)	568817877419673641	0 8 30 68 78 96 110 156 170 188 198 236 258 266	-26321222160
SPT(18)	568817885954808527	0 72 86 90 102 116 164 170 174 182 186 192 240 254 266 270 284 356	-17786087274
SPT(14)	568817913055278631	0 16 72 76 78 90 118 120 148 160 162 166 222 238	9314382830
SPT(14)	568817954351009159	0 12 38 54 68 80 90 122 132 144 158 174 200 212	50610113358
SPT(14)	568817960397492413	0 38 56 98 110 150 236 270 356 396 408 450 468 506	56656596612
SPT(14)	568817981195903519	0 2 20 42 54 90 120 182 212 248 260 282 300 302	77455007718
SPT(14)	568817987659040891	0 6 38 48 50 120 150 158 188 258 260 270 302 308	83918145090