Prime p₀= 68182395848321189 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 64 2 28 2 10 2 40 2 (?)
a_n: 0 2 12 14 78 80 108 110 120 122 162 164
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: 164
Found by: pelpolaris
db: batch=67, k=12, 10 64 28 10 40

SPT(14)	68182295564356471	0 12 18 42 46 82 88 150 156 192 196 220 226 238	-100283964718
SPT(14)	68182307819704571	0 26 56 72 80 146 152 210 216 282 290 306 336 362	-88028616618
SPT(14)	68182325406443177	0 12 20 56 86 96 102 140 146 156 186 222 230 242	-70441878012
SPT(14)	68182328610760201	0 10 52 78 82 112 118 180 186 216 220 246 288 298	-67237560988
SPT(14)	68182337794931911	0 18 42 48 96 180 196 222 238 322 370 376 400 418	-58053389278
TPT(12)	68182351795514447	0 2 162 164 192 194 234 236 294 296 324 326	-44052806742
TPT(12)	68182399843087487	0 2 42 44 72 74 180 182 192 194 234 236	3994766298
SPT(14)	68182399954677313	0 6 28 48 54 64 70 84 90 100 106 126 148 154	4106356124
SPT(14)	68182400160900043	0 6 16 78 88 100 120 124 144 156 166 228 238 244	4312578854
TPT(12)	68182415095030919	0 2 18 20 60 62 72 74 138 140 210 212	19246709730
SPT(14)	68182416030375029	0 8 14 18 42 60 62 120 122 140 164 168 174 182	20182053840