Prime p₀= 23125819532994551 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 10 2 76 2 70 2 16 2 (?)
a_n: 0 2 36 38 48 50 126 128 198 200 216 218
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: 218
Found by: [B@P] Daniel
db: batch=65, k=12, 34 10 76 70 16

SPT(14)	23125763218411241	0 66 72 92 98 110 122 126 138 150 156 176 182 248	-56314583310
SPT(16)	23125770385280501	0 26 50 80 92 98 122 126 152 156 180 186 198 228 252 278	-49147714050
SPT(14)	23125780242343897	0 24 40 54 60 70 100 126 156 166 172 186 202 226	-39290650654
SPT(14)	23125782874869203	0 20 48 50 68 86 96 128 138 156 174 176 204 224	-36658125348
SPT(14)	23125792921346029	0 18 24 28 52 54 78 94 118 120 144 148 154 172	-26611648522
SPT(14)	23125816680875833	0 18 30 60 64 166 196 198 228 330 334 364 376 394	-2852118718
SPT(14)	23125821231679787	0 26 54 90 134 140 152 174 186 192 236 272 300 326	1698685236
SPT(14)	23125835255697439	0 18 82 90 102 108 130 132 154 160 172 180 244 262	15722702888
SPT(14)	23125838036487301	0 16 30 42 58 66 82 96 112 120 136 148 162 178	18503492750
SPT(14)	23125842229877707	0 22 42 60 64 132 162 214 244 312 316 334 354 376	22696883156
TPT(12)	23125846582784819	0 2 42 44 150 152 198 200 222 224 228 230	27049790268