Prime p₀= 588771573653850239 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 28 2 16 2 118 2 46 2 (?)
a_n: 0 2 72 74 102 104 120 122 240 242 288 290
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: 290
Found by: Dr Who Fan
db: batch=71, k=12, 70 28 16 118 46

TPT(12)	588771521369068559	0 2 30 32 60 62 90 92 210 212 228 230	-52284781680
SPT(14)	588771536975258503	0 28 40 76 124 136 138 196 198 210 258 294 306 334	-36678591736
SPT(14)	588771548056128043	0 6 34 60 126 136 168 346 378 388 454 480 508 514	-25597722196
SPT(14)	588771558038594251	0 10 18 70 96 118 132 136 150 172 198 250 258 268	-15615255988
TPT(12)	588771559034268521	0 2 18 20 30 32 36 38 156 158 168 170	-14619581718
SPT(14)	588771572986488077	0 30 42 50 72 132 156 200 224 284 306 314 326 356	-667362162
SPT(14)	588771575186592593	0 20 38 50 66 78 90 134 146 158 174 186 204 224	1532742354
TPT(12)	588771604113579617	0 2 24 26 90 92 120 122 150 152 162 164	30459729378
SPT(14)	588771616876226011	0 12 22 40 78 90 112 126 148 160 198 216 226 238	43222375772
SPT(14)	588771647234973451	0 6 40 42 78 90 130 198 238 250 286 288 322 328	73581123212
SPT(14)	588771648782637037	0 4 6 16 54 60 70 90 100 106 144 154 156 160	75128786798