Prime p₀= 7395876358037599 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 4 8 30 18 4 14 16 14 4 18 30 8 4 (?)
a_n: 0 4 12 42 60 64 78 94 108 112 130 160 168 172
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: 172
Found by: Roadranner
db: batch=62, k=14, 4 8 30 18 4 14 16

SPT(14)	7395853970873983	0 6 28 40 58 70 108 118 156 168 186 198 220 226	-22387163616
SPT(16)	7395859913226991	0 12 22 72 82 96 112 118 120 126 142 156 166 216 226 238	-16444810608
SPT(14)	7395868980247271	0 18 72 80 98 108 140 210 242 252 270 278 332 350	-7377790328
SPT(14)	7395869948203159	0 78 82 100 184 210 252 280 322 348 432 450 454 532	-6409834440
TPT(12)	7395875283109931	0 2 120 122 126 128 156 158 168 170 258 260	-1074927668
SPT(14)	7395875862223987	0 12 34 40 46 76 112 144 180 210 216 222 244 256	-495813612
SPT(14)	7395876748508251	0 6 28 42 58 66 72 76 82 90 106 120 142 148	390470652
SPT(14)	7395882308513323	0 18 34 36 60 70 76 78 84 94 118 120 136 154	5950475724
TPT(12)	7395892895483501	0 2 6 8 48 50 78 80 90 92 126 128	16537445902
STPT(10)	7395895902112967	0 2 30 32 42 44 54 56 84 86	19544075368
STPT(10)	7395918824206709	0 2 18 20 30 32 42 44 60 62	42466169110