Prime p₀= 3717799220205976439 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Sphynx
db: batch=84, k=12, 2 40 2 4 2 22

STPT(10)	3717797299228931099	0 2 18 20 30 32 42 44 60 62	-1920977045340
SPT(16)	3717797641260164921	0 2 8 32 60 78 90 120 140 170 182 200 228 252 258 260	-1578945811518
STPT(10)	3717798082741177439	0 2 12 14 90 92 168 170 180 182	-1137464799000
SPT(16)	3717798245274578653	0 90 100 108 118 126 154 160 234 240 268 276 286 294 304 394	-974931397786
STPT(10)	3717798528359595299	0 2 12 14 90 92 168 170 180 182	-691846381140
SPT(16)	3717799219803879523	0 4 46 60 78 130 136 178 186 228 234 286 304 318 360 364	-402096916
STPT(10)	3717799551272303207	0 2 12 14 42 44 72 74 84 86	331066326768
STPT(10)	3717799754281773869	0 2 18 20 60 62 102 104 120 122	534075797430
SPT(18)	3717799783796897489	0 14 80 110 150 162 204 210 218 234 242 248 290 302 342 372 438 452	563590921050
SPT(16)	3717800322903310729	0 12 30 40 70 78 100 108 142 150 172 180 210 220 238 250	1102697334290
SPT(16)	3717800408372629699	0 18 22 30 42 60 64 70 102 108 112 130 142 150 154 172	1188166653260