Prime p₀= 18694946281026227 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 46 2 22 2 16 2 10 2 (?)
a_n: 0 2 42 44 90 92 114 116 132 134 144 146
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: 146
Found by: emoga
db: batch=62, k=12, 40 46 22 16 10

STPT(12)	18694898873279171	0 2 30 32 90 92 96 98 156 158 186 188	-47407747056
TPT(12)	18694898873279171	0 2 30 32 90 92 96 98 156 158 186 188	-47407747056
TPT(12)	18694903600919837	0 2 30 32 42 44 54 56 90 92 132 134	-42680106390
SPT(14)	18694915956490591	0 12 28 42 48 88 112 156 180 220 226 240 256 268	-30324535636
SPT(14)	18694926318292447	0 12 42 60 90 124 150 196 222 256 286 304 334 346	-19962733780
TPT(12)	18694934271427649	0 2 30 32 42 44 48 50 72 74 132 134	-12009598578
SPT(14)	18694954040779979	0 2 20 48 68 132 158 282 308 372 392 420 438 440	7759753752
SPT(14)	18694975041161593	0 66 76 114 124 144 168 226 250 270 280 318 328 394	28760135366
SPT(14)	18694977420007787	0 62 92 96 122 170 192 194 216 264 290 294 324 386	31138981560
SPT(14)	18694978049757367	0 12 22 24 52 64 72 94 102 114 142 144 154 166	31768731140
SPT(14)	18694981185644003	0 8 30 56 60 80 144 230 294 314 318 344 366 374	34904617776