Prime p₀= 25895563087691069 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 58 2 28 2 (?)
a_n: 0 2 42 44 78 80 120 122 180 182 210 212
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: 212
Found by: Cruncher Pete
db: batch=65, k=12, 40 34 40 58 28

SPT(14)	25895524360653007	0 4 22 42 64 82 100 144 162 180 202 222 240 244	-38727038062
STPT(10)	25895529517834589	0 2 18 20 30 32 42 44 60 62	-33569856480
STPT(10)	25895535090796139	0 2 18 20 30 32 42 44 60 62	-27996894930
SPT(14)	25895542130888401	0 28 90 112 118 132 138 160 166 180 186 208 270 298	-20956802668
SPT(14)	25895554904127991	0 18 66 70 78 102 106 192 196 220 228 232 280 298	-8183563078
SPT(14)	25895557813133627	0 20 62 72 86 110 114 152 156 180 194 204 246 266	-5274557442
SPT(14)	25895568798491897	0 114 134 140 162 164 180 224 240 242 264 270 290 404	5710800828
SPT(14)	25895596110192521	0 30 48 62 122 146 150 188 192 216 276 290 308 338	33022501452
SPT(14)	25895601518849399	0 12 30 32 54 60 72 122 134 140 162 164 182 194	38431158330
SPT(14)	25895603233288231	0 6 28 42 70 72 76 102 106 108 136 150 172 178	40145597162
SPT(14)	25895603974223017	0 100 114 126 156 166 180 256 270 280 310 322 336 436	40886531948