Prime p₀= 131381646718992029 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 4 2 100 2 10 2 16 2 (?)
a_n: 0 2 42 44 48 50 150 152 162 164 180 182
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: [SG]ATA-Rolf
db: batch=67, k=12, 40 4 100 10 16

SPT(14)	131381589701385487	0 6 46 52 112 114 154 192 232 234 294 300 340 346	-57017606542
TPT(12)	131381594327984447	0 2 42 44 72 74 144 146 270 272 402 404	-52391007582
SPT(14)	131381622997145413	0 28 34 40 46 54 88 156 190 198 204 210 216 244	-23721846616
SPT(14)	131381631695763929	0 12 18 78 90 102 110 210 218 230 242 302 308 320	-15023228100
SPT(14)	131381638745894821	0 58 82 88 100 142 148 180 186 228 240 246 270 328	-7973097208
SPT(14)	131381645015840603	0 14 18 20 74 138 150 224 236 300 354 356 360 374	-1703151426
SPT(14)	131381664878618197	0 16 42 72 82 136 142 180 186 240 250 280 306 322	18159626168
SPT(14)	131381689284761809	0 28 70 112 138 148 168 202 222 232 258 300 342 370	42565769780
TPT(12)	131381690211884711	0 2 30 32 96 98 156 158 198 200 306 308	43492892682
SPT(14)	131381697352609771	0 12 28 30 46 48 88 240 280 282 298 300 316 328	50633617742
SPT(14)	131381703816983177	0 6 24 42 104 120 164 192 236 252 314 332 350 356	57097991148