Prime p₀= 404885370343707427 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 84 18 40 12 26 12 22 12 26 12 40 18 84 (?)
a_n: 0 84 102 142 154 180 192 214 226 252 264 304 322 406
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: 406
Found by: Cruncher Pete
db: batch=70, k=14, 84 18 40 12 26 12 22

SPT(14)	404885163074023087	0 10 24 42 52 60 96 100 136 144 154 172 186 196	-207269684340
SPT(14)	404885170870948841	0 12 30 36 42 62 80 138 156 176 182 188 206 218	-199472758586
SPT(14)	404885205285895441	0 46 66 76 106 112 120 142 150 156 186 196 216 262	-165057811986
SPT(14)	404885274874980359	0 48 62 102 104 144 174 188 218 258 260 300 314 362	-95468727068
SPT(14)	404885301837529607	0 6 12 30 90 120 132 240 252 282 342 360 366 372	-68506177820
SPT(14)	404885325390209533	0 88 156 168 198 216 220 234 238 256 286 298 366 454	-44953497894
TPT(12)	404885377515240029	0 2 42 44 72 74 78 80 90 92 168 170	7171532602
TPT(12)	404885380157043419	0 2 30 32 60 62 102 104 132 134 138 140	9813335992
TPT(12)	404885405560082189	0 2 72 74 108 110 138 140 150 152 198 200	35216374762
SPT(14)	404885410500568729	0 34 72 112 114 144 162 292 310 340 342 382 420 454	40156861302
SPT(14)	404885427391109947	0 6 60 102 156 162 172 174 184 190 244 286 340 346	57047402520