Prime p₀= 68568442693354829 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 24 78 12 6 60 30 12 30 60 6 12 78 24 (?)
a_n: 0 24 102 114 120 180 210 222 252 312 318 330 408 432
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: 432
Found by: emoga
db: batch=67, k=14, 24 78 12 6 60 30 12

SPT(14)	68568385555351931	0 30 36 78 86 120 152 156 188 222 230 272 278 308	-57138002898
SPT(14)	68568398379900227	0 14 26 72 134 152 156 200 204 222 284 330 342 356	-44313454602
SPT(14)	68568402067583029	0 30 42 94 100 118 132 160 174 192 198 250 262 292	-40625771800
SPT(14)	68568405129933479	0 2 12 50 68 78 102 110 134 144 162 200 210 212	-37563421350
SPT(16)	68568410947774051	0 10 42 66 100 118 130 156 172 198 210 228 262 286 318 328	-31745580778
SPT(16)	68568421231835729	0 2 54 102 128 140 152 158 204 210 222 234 260 308 360 362	-21461519100
SPT(14)	68568443372561563	0 4 36 46 48 90 166 168 244 286 288 298 330 334	679206734
SPT(14)	68568457895887111	0 10 42 78 82 100 108 112 120 138 142 178 210 220	15202532282
TPT(12)	68568466160381417	0 2 24 26 42 44 60 62 72 74 102 104	23467026588
TPT(12)	68568474633581171	0 2 6 8 60 62 168 170 198 200 210 212	31940226342
SPT(14)	68568493196789429	0 50 72 90 98 128 152 240 264 294 302 320 342 392	50503434600