Prime p₀= 805569022296335579 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: [SG]FX
db: batch=73, k=12, 2 16 2 22 2 34

STPT(10)	805567966183990949	0 2 42 44 60 62 78 80 120 122	-1056112344630
SPT(13)	805568255723882269	0 12 78 90 120 132 150 168 180 210 222 288 300	-766572453310
STPT(10)	805568488500134627	0 2 30 32 72 74 114 116 144 146	-533796200952
STPT(10)	805568596628630687	0 2 30 32 72 74 114 116 144 146	-425667704892
SPT(16)	805568776053181039	0 18 28 54 60 72 82 100 102 120 130 142 148 174 184 202	-246243154540
SPT(16)	805568800076430967	0 22 36 52 96 162 180 192 220 232 250 316 360 376 390 412	-222219904612
SPT(16)	805569064964862223	0 4 36 70 78 88 126 130 204 208 246 256 264 298 330 334	42668526644
TPT(14)	805569165241930457	0 2 42 44 102 104 132 134 144 146 240 242 252 254	142945594878
STPT(10)	805569325874090681	0 2 36 38 78 80 120 122 156 158	303577755102
STPT(10)	805569533606745137	0 2 24 26 42 44 60 62 84 86	511310409558
STPT(10)	805569649152624269	0 2 12 14 90 92 168 170 180 182	626856288690