Prime p₀= 3742545459728807 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 76 2 52 2 28 2 4 2 (?)
a_n: 0 2 12 14 90 92 144 146 174 176 180 182
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: Agus
db: batch=61, k=12, 10 76 52 28 4

SPT(14)	3742510988290439	0 54 72 74 78 92 102 110 120 134 138 140 158 212	-34471438368
SPT(14)	3742521038300371	0 6 28 40 42 52 70 108 126 136 138 150 172 178	-24421428436
SPT(14)	3742525628097803	0 18 60 134 156 198 210 254 266 308 330 404 446 464	-19831631004
SPT(16)	3742529811724801	0 6 10 12 28 70 96 126 142 172 198 240 256 258 262 268	-15648004006
SPT(14)	3742541718409369	0 10 22 28 42 108 130 162 184 250 264 270 282 292	-3741319438
SPT(14)	3742544233862867	0 14 56 66 102 132 144 212 224 254 290 300 342 356	-1225865940
SPT(16)	3742550387553451	0 22 28 42 66 78 90 106 132 148 160 172 196 210 216 238	4927824644
TPT(12)	3742560449383619	0 2 48 50 78 80 132 134 138 140 162 164	14989654812
SPT(14)	3742565612715373	0 6 28 36 48 70 90 94 114 136 148 156 178 184	20152986566
TPT(12)	3742567750251017	0 2 84 86 132 134 204 206 270 272 282 284	22290522210
STPT(10)	3742570870965917	0 2 12 14 42 44 72 74 84 86	25411237110