Prime p₀= 68183947911874309 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 12 18 12 12 4 26 4 26 4 12 12 18 12 (?)
a_n: 0 12 30 42 54 58 84 88 114 118 130 142 160 172
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: 172
Found by: emoga
db: batch=67, k=14, 12 18 12 12 4 26 4

SPT(14)	68183883402400879	0 12 58 70 88 100 138 154 192 204 222 234 280 292	-64509473430
SPT(14)	68183890978520767	0 6 24 36 64 84 90 106 112 132 160 172 190 196	-56933353542
SPT(14)	68183904460396223	0 30 56 74 90 144 156 158 170 224 240 258 284 314	-43451478086
SPT(14)	68183904597525061	0 10 52 72 76 126 142 210 226 276 280 300 342 352	-43314349248
SPT(14)	68183908030787917	0 40 82 120 130 144 166 330 352 366 376 414 456 496	-39881086392
TPT(12)	68183939664438041	0 2 6 8 36 38 78 80 120 122 168 170	-8247436268
SPT(14)	68183949298751369	0 32 84 98 102 150 158 174 182 230 234 248 300 332	1386877060
TPT(12)	68183967895807031	0 2 30 32 36 38 78 80 90 92 168 170	19983932722
SPT(14)	68183972122734469	0 22 28 40 52 82 108 154 180 210 222 234 240 262	24210860160
STPT(10)	68183977187567957	0 2 42 44 72 74 102 104 144 146	29275693648
SPT(14)	68183978053698553	0 36 46 78 90 106 120 124 138 154 166 198 208 244	30141824244