Prime p₀= 825789806896338239 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: arkiss
db: batch=73, k=12, 2 16 2 22 2 4

STPT(10)	825788983023367511	0 2 30 32 78 80 126 128 156 158	-823872970728
SPT(16)	825789100317504329	0 80 102 110 140 180 182 188 234 240 242 282 312 320 342 422	-706578833910
STPT(10)	825789171915561611	0 2 6 8 18 20 30 32 36 38	-634980776628
STPT(10)	825789382751775269	0 2 42 44 60 62 78 80 120 122	-424144562970
STPT(10)	825789486528403751	0 2 6 8 48 50 90 92 96 98	-320367934488
SPT(16)	825789653493950309	0 8 24 42 72 84 150 152 180 182 248 260 290 308 324 332	-153402387930
STPT(10)	825790023130723499	0 2 30 32 60 62 90 92 120 122	216234385260
STPT(10)	825790118529119477	0 2 30 32 42 44 54 56 84 86	311632781238
SPT(16)	825790185614293283	0 26 30 60 66 114 156 216 248 308 350 398 404 434 438 464	378717955044
STPT(10)	825790356497475167	0 2 30 32 42 44 54 56 84 86	549601136928
TPT(14)	825790458313450967	0 2 54 56 72 74 84 86 120 122 150 152 162 164	651417112728