Prime p₀= 180884866204112039 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 100 2 4 2 28 2 10 2 (?)
a_n: 0 2 30 32 132 134 138 140 168 170 180 182
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: Euphoriabuzz
db: batch=69, k=12, 28 100 4 28 10

SPT(14)	180884811617274871	0 82 108 120 138 150 162 196 208 220 238 250 276 358	-54586837168
SPT(14)	180884825697806401	0 6 58 70 72 90 112 156 178 196 198 210 262 268	-40506305638
SPT(14)	180884827619047777	0 12 42 60 66 96 102 130 136 166 172 190 220 232	-38585064262
SPT(16)	180884827952869441	0 18 30 58 70 78 88 202 228 342 352 360 372 400 412 430	-38251242598
SPT(16)	180884847566283481	0 10 46 60 66 106 118 130 168 180 192 232 238 252 288 298	-18637828558
SPT(14)	180884859998154677	0 2 44 66 102 110 122 144 156 164 200 222 264 266	-6205957362
SPT(14)	180884871037750091	0 6 18 20 60 78 86 90 98 116 156 158 170 176	4833638052
SPT(14)	180884871697928323	0 28 30 66 70 78 126 178 226 234 238 274 276 304	5493816284
SPT(14)	180884898008984927	0 6 20 24 30 72 90 116 134 176 182 186 200 206	31804872888
TPT(12)	180884898844390799	0 2 60 62 78 80 132 134 168 170 198 200	32640278760
SPT(16)	180884902718358617	0 32 50 74 86 120 146 186 230 270 296 330 342 366 384 416	36514246578