Prime p₀= 772829516632272299 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 34 2 82 2 34 2 10 2 (?)
a_n: 0 2 12 14 48 50 132 134 168 170 180 182
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: 182
Found by: marsinph
db: batch=73, k=12, 2 10 2 34 2 82

SPT(16)	772828499905069973	0 26 54 68 74 78 110 120 134 144 176 180 186 200 228 254	-1016727202326
SPT(16)	772828668917526827	0 12 14 20 72 92 102 110 204 212 222 242 294 300 302 314	-847714745472
STPT(10)	772829118056406797	0 2 12 14 42 44 72 74 84 86	-398575865502
STPT(10)	772829162080912367	0 2 30 32 72 74 114 116 144 146	-354551359932
STPT(10)	772829266671445337	0 2 54 56 72 74 90 92 144 146	-249960826962
SPT(16)	772829463269757781	0 6 10 16 66 72 76 96 172 192 196 202 252 258 262 268	-53362514518
STPT(10)	772829651448253667	0 2 30 32 72 74 114 116 144 146	134815981368
STPT(10)	772829759925105977	0 2 90 92 132 134 174 176 264 266	243292833678
SPT(16)	772830689023563197	0 14 20 56 80 86 110 114 122 126 150 156 180 216 222 236	1172391290898
STPT(12)	772830827020530431	0 2 18 20 60 62 96 98 138 140 156 158	1310388258132
SPT(16)	772830863192407829	0 18 20 32 38 60 62 78 104 120 122 144 150 162 164 182	1346560135530