Prime p₀= 396356614070757971 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 82 2 16 2 16 2 22 2 (?)
a_n: 0 2 36 38 120 122 138 140 156 158 180 182
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: Dr Who Fan
db: batch=70, k=12, 34 82 16 16 22

TPT(12)	396356475356354789	0 2 78 80 90 92 108 110 132 134 180 182	-138714403182
SPT(14)	396356506031504017	0 52 60 82 96 124 156 250 282 310 324 346 354 406	-108039253954
TPT(12)	396356510408838401	0 2 6 8 78 80 90 92 168 170 240 242	-103661919570
SPT(14)	396356514229919263	0 48 88 118 124 130 138 160 168 174 180 210 250 298	-99840838708
SPT(14)	396356573589797959	0 10 22 34 40 42 48 124 130 132 138 150 162 172	-40480960012
SPT(14)	396356608953060377	0 32 44 66 102 110 144 152 186 194 230 252 264 296	-5117697594
STPT(10)	396356656123593461	0 2 6 8 18 20 30 32 36 38	42052835490
TPT(12)	396356673214011437	0 2 12 14 54 56 72 74 90 92 132 134	59143253466
STPT(10)	396356673214011449	0 2 42 44 60 62 78 80 120 122	59143253478
SPT(14)	396356688519434129	0 12 32 42 62 92 102 128 138 168 188 198 218 230	74448676158
SPT(14)	396356704366329029	0 38 42 44 92 98 164 198 264 270 318 320 324 362	90295571058