Prime p₀= 2396307165441504221 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 124 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 156 158 168 170 186 188
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: 188
Found by: [AF] Kalianthys
db: batch=81, k=12, 2 16 2 10 2 124

STPT(10)	2396305469387737637	0 2 30 32 72 74 114 116 144 146	-1696053766584
STPT(10)	2396305541389336607	0 2 30 32 60 62 90 92 120 122	-1624052167614
SPT(16)	2396305583654624087	0 24 32 62 80 102 120 146 330 356 374 396 414 444 452 476	-1581786880134
SPT(16)	2396305786978768351	0 30 66 78 112 136 228 252 256 280 372 396 430 442 478 508	-1378462735870
SPT(16)	2396306057687515403	0 30 44 50 56 66 126 146 198 218 278 288 294 300 314 344	-1107753988818
SPT(16)	2396306525471818937	0 26 32 66 80 96 104 120 206 222 230 246 260 294 300 326	-639969685284
SPT(16)	2396307881816668843	0 4 34 48 64 66 114 136 168 190 238 240 256 270 300 304	716375164622
STPT(10)	2396308189203772157	0 2 12 14 42 44 72 74 84 86	1023762267936
SPT(16)	2396308628591352967	0 66 76 94 142 150 154 172 174 192 196 204 252 270 280 346	1463149848746
STPT(12)	2396309130825811907	0 2 12 14 54 56 60 62 102 104 114 116	1965384307686
STPT(10)	2396309185521541271	0 2 36 38 78 80 120 122 156 158	2020080037050