Prime p₀= 68183908030787917 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 40 42 38 10 14 22 164 22 14 10 38 42 40 (?)
a_n: 0 40 82 120 130 144 166 330 352 366 376 414 456 496
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: 496
Found by: emoga
db: batch=67, k=14, 40 42 38 10 14 22 164

SPT(14)	68183882049632341	0 10 42 46 48 142 156 172 186 280 282 286 318 328	-25981155576
TPT(12)	68183882396650079	0 2 12 14 48 50 78 80 132 134 288 290	-25634137838
SPT(14)	68183883402400879	0 12 58 70 88 100 138 154 192 204 222 234 280 292	-24628387038
SPT(14)	68183890978520767	0 6 24 36 64 84 90 106 112 132 160 172 190 196	-17052267150
SPT(14)	68183904460396223	0 30 56 74 90 144 156 158 170 224 240 258 284 314	-3570391694
SPT(14)	68183904597525061	0 10 52 72 76 126 142 210 226 276 280 300 342 352	-3433262856
TPT(12)	68183939664438041	0 2 6 8 36 38 78 80 120 122 168 170	31633650124
SPT(14)	68183947911874309	0 12 30 42 54 58 84 88 114 118 130 142 160 172	39881086392
SPT(14)	68183949298751369	0 32 84 98 102 150 158 174 182 230 234 248 300 332	41267963452
TPT(12)	68183967895807031	0 2 30 32 36 38 78 80 90 92 168 170	59865019114
SPT(14)	68183972122734469	0 22 28 40 52 82 108 154 180 210 222 234 240 262	64091946552