Prime p₀= 144467110875790331 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 34 2 100 2 10 2 4 2 (?)
a_n: 0 2 30 32 66 68 168 170 180 182 186 188
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: 188
Found by: emoga
db: batch=67, k=12, 28 34 100 10 4

SPT(14)	144467065195729313	0 20 30 44 50 60 74 174 188 198 204 218 228 248	-45680061018
SPT(14)	144467066354183113	0 28 34 58 66 76 118 126 168 178 186 210 216 244	-44521607218
SPT(14)	144467090219600803	0 18 28 30 76 78 130 144 196 198 244 246 256 274	-20656189528
TPT(12)	144467090298863417	0 2 24 26 42 44 72 74 114 116 150 152	-20576926914
SPT(14)	144467093116986971	0 2 8 38 50 66 108 140 182 198 210 240 246 248	-17758803360
SPT(14)	144467098849764877	0 72 90 112 114 120 132 142 154 160 162 184 202 274	-12026025454
SPT(16)	144467111844574759	0 10 30 70 94 100 114 130 132 148 162 168 192 232 252 262	968784428
SPT(14)	144467112323437609	0 10 52 88 90 102 142 168 208 220 222 258 300 310	1447647278
SPT(14)	144467123288930669	0 12 90 152 164 182 194 210 222 240 252 314 392 404	12413140338
SPT(14)	144467123810895209	0 48 74 78 98 140 150 158 168 210 230 234 260 308	12935104878
SPT(14)	144467129618614597	0 22 72 90 100 114 126 160 172 186 196 214 264 286	18742824266