Prime p₀= 68179287628652227 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 70 54 20 58 8 12 22 12 8 58 20 54 70 (?)
a_n: 0 70 124 144 202 210 222 244 256 264 322 342 396 466
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: 466
Found by: scrap
db: batch=67, k=14, 70 54 20 58 8 12 22

SPT(14)	68179238490821779	0 18 28 48 54 60 84 88 112 118 124 144 154 172	-49137830448
SPT(14)	68179239185088539	0 50 62 98 120 140 158 204 222 242 264 300 312 362	-48443563688
SPT(14)	68179257947347661	0 8 48 72 86 92 116 132 156 162 176 200 240 248	-29681304566
SPT(14)	68179258783244519	0 8 42 54 180 198 204 218 224 242 368 380 414 422	-28845407708
SPT(14)	68179260941854747	0 34 42 76 100 102 114 142 154 156 180 214 222 256	-26686797480
SPT(14)	68179264237975411	0 10 36 52 78 132 162 166 196 250 276 292 318 328	-23390676816
STPT(10)	68179295296796417	0 2 24 26 42 44 60 62 84 86	7668144190
TPT(12)	68179300878479741	0 2 60 62 66 68 150 152 156 158 168 170	13249827514
SPT(14)	68179307533648903	0 18 36 54 60 76 154 180 258 274 280 298 316 334	19904996676
TPT(12)	68179316752314947	0 2 54 56 90 92 114 116 174 176 210 212	29123662720
SPT(14)	68179329707951477	0 44 60 72 74 80 116 120 156 162 164 176 192 236	42079299250