Prime p₀= 7395876748508251 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 6 22 14 16 8 6 4 6 8 16 14 22 6 (?)
a_n: 0 6 28 42 58 66 72 76 82 90 106 120 142 148
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: 148
Found by: Roadranner
db: batch=62, k=14, 6 22 14 16 8 6 4

SPT(16)	7395859913226991	0 12 22 72 82 96 112 118 120 126 142 156 166 216 226 238	-16835281260
SPT(14)	7395868980247271	0 18 72 80 98 108 140 210 242 252 270 278 332 350	-7768260980
SPT(14)	7395869948203159	0 78 82 100 184 210 252 280 322 348 432 450 454 532	-6800305092
TPT(12)	7395875283109931	0 2 120 122 126 128 156 158 168 170 258 260	-1465398320
SPT(14)	7395875862223987	0 12 34 40 46 76 112 144 180 210 216 222 244 256	-886284264
SPT(14)	7395876358037599	0 4 12 42 60 64 78 94 108 112 130 160 168 172	-390470652
SPT(14)	7395882308513323	0 18 34 36 60 70 76 78 84 94 118 120 136 154	5560005072
TPT(12)	7395892895483501	0 2 6 8 48 50 78 80 90 92 126 128	16146975250
STPT(10)	7395895902112967	0 2 30 32 42 44 54 56 84 86	19153604716
STPT(10)	7395918824206709	0 2 18 20 30 32 42 44 60 62	42075698458
SPT(20)	7395922005499789	0 58 60 94 114 132 144 150 172 192 220 240 262 268 280 298 318 352 354 412	45256991538