Prime p₀= 67714884548592419 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 28 48 54 6 2 70 2 6 54 48 28 14 (?)
a_n: 0 14 42 90 144 150 152 222 224 230 284 332 360 374
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: 374
Found by: cpuid
db: batch=67, k=14, 14 28 48 54 6 2 70

SPT(16)	67714809567548449	0 10 22 42 150 154 172 190 192 210 228 232 340 360 372 382	-74981043970
SPT(16)	67714809694103137	0 10 16 30 40 46 52 82 114 144 150 156 166 180 186 196	-74854489282
SPT(14)	67714841780264179	0 34 40 112 120 132 142 180 190 202 210 282 288 322	-42768328240
SPT(14)	67714864155367567	0 10 40 42 66 120 136 180 196 250 274 276 306 316	-20393224852
TPT(12)	67714866854596697	0 2 30 32 114 116 150 152 192 194 234 236	-17693995722
SPT(14)	67714873935556157	0 14 32 60 114 126 144 182 200 212 266 294 312 326	-10613036262
SPT(14)	67714888743481237	0 10 24 30 42 66 82 84 100 124 136 142 156 166	4194888818
SPT(14)	67714889225469683	0 8 38 54 60 80 86 108 114 134 140 156 186 194	4676877264
SPT(14)	67714895125432369	0 24 40 84 112 150 168 244 262 300 328 372 388 412	10576839950
TPT(12)	67714896879668567	0 2 12 14 42 44 72 74 90 92 102 104	12331076148
SPT(14)	67714907082968539	0 52 58 60 70 72 94 108 130 132 142 144 150 202	22534376120