Prime p₀= 68183939664438041 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 40 2 40 2 46 2 (?)
a_n: 0 2 6 8 36 38 78 80 120 122 168 170
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: 170
Found by: emoga
db: batch=67, k=12, 4 28 40 40 46

TPT(12)	68183882396650079	0 2 12 14 48 50 78 80 132 134 288 290	-57267787962
SPT(14)	68183883402400879	0 12 58 70 88 100 138 154 192 204 222 234 280 292	-56262037162
SPT(14)	68183890978520767	0 6 24 36 64 84 90 106 112 132 160 172 190 196	-48685917274
SPT(14)	68183904460396223	0 30 56 74 90 144 156 158 170 224 240 258 284 314	-35204041818
SPT(14)	68183904597525061	0 10 52 72 76 126 142 210 226 276 280 300 342 352	-35066912980
SPT(14)	68183908030787917	0 40 82 120 130 144 166 330 352 366 376 414 456 496	-31633650124
SPT(14)	68183947911874309	0 12 30 42 54 58 84 88 114 118 130 142 160 172	8247436268
SPT(14)	68183949298751369	0 32 84 98 102 150 158 174 182 230 234 248 300 332	9634313328
TPT(12)	68183967895807031	0 2 30 32 36 38 78 80 90 92 168 170	28231368990
SPT(14)	68183972122734469	0 22 28 40 52 82 108 154 180 210 222 234 240 262	32458296428
STPT(10)	68183977187567957	0 2 42 44 72 74 102 104 144 146	37523129916