Prime p₀= 68568405129933479 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 2 10 38 18 10 24 8 24 10 18 38 10 2 (?)
a_n: 0 2 12 50 68 78 102 110 134 144 162 200 210 212
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: 212
Found by: emoga
db: batch=67, k=14, 2 10 38 18 10 24 8

STPT(10)	68568354463206287	0 2 30 32 42 44 54 56 84 86	-50666727192
STPT(10)	68568358093156949	0 2 18 20 30 32 42 44 60 62	-47036776530
SPT(14)	68568372024451489	0 12 54 58 72 94 142 150 198 220 234 238 280 292	-33105481990
SPT(14)	68568385555351931	0 30 36 78 86 120 152 156 188 222 230 272 278 308	-19574581548
SPT(14)	68568398379900227	0 14 26 72 134 152 156 200 204 222 284 330 342 356	-6750033252
SPT(14)	68568402067583029	0 30 42 94 100 118 132 160 174 192 198 250 262 292	-3062350450
SPT(16)	68568410947774051	0 10 42 66 100 118 130 156 172 198 210 228 262 286 318 328	5817840572
SPT(16)	68568421231835729	0 2 54 102 128 140 152 158 204 210 222 234 260 308 360 362	16101902250
SPT(14)	68568442693354829	0 24 102 114 120 180 210 222 252 312 318 330 408 432	37563421350
SPT(14)	68568443372561563	0 4 36 46 48 90 166 168 244 286 288 298 330 334	38242628084
SPT(14)	68568457895887111	0 10 42 78 82 100 108 112 120 138 142 178 210 220	52765953632