Prime p₀= 400434393798445837 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 84 6 4 8 34 38 58 38 34 8 4 6 84 (?)
a_n: 0 84 90 94 102 136 174 232 270 304 312 316 322 406
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 6 4 8 34 38 58

SPT(14)	400434257469184027	0 12 34 52 64 102 126 130 154 192 204 222 244 256	-136329261810
TPT(12)	400434270137410427	0 2 84 86 120 122 144 146 240 242 252 254	-123661035410
SPT(14)	400434317252526539	0 2 20 30 90 104 170 234 300 314 374 384 402 404	-76545919298
SPT(14)	400434320958917797	0 4 12 66 70 90 112 114 136 156 160 214 222 226	-72839528040
SPT(14)	400434344393277539	0 14 20 78 210 228 230 408 410 428 560 618 624 638	-49405168298
SPT(14)	400434358666623341	0 2 12 32 36 42 78 110 146 152 156 176 186 188	-35131822496
SPT(14)	400434399828463267	0 12 24 46 60 66 72 94 100 106 120 142 154 166	6030017430
SPT(16)	400434409750534427	0 20 42 104 186 192 204 206 210 212 224 230 312 374 396 416	15952088590
SPT(14)	400434411492155059	0 40 42 52 64 78 82 90 94 108 120 130 132 172	17693709222
TPT(12)	400434416241652229	0 2 48 50 90 92 138 140 150 152 258 260	22443206392
TPT(12)	400434422779581557	0 2 24 26 90 92 132 134 222 224 234 236	28981135720