Prime p₀= 90277576738375667 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 106 2 22 2 (?)
a_n: 0 2 54 56 90 92 132 134 240 242 264 266
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: 266
Found by: RFGuy_KCCO
db: batch=67, k=12, 52 34 40 106 22

TPT(12)	90277516819177619	0 2 120 122 150 152 162 164 180 182 198 200	-59919198048
SPT(14)	90277519573596109	0 52 72 82 88 94 150 172 228 234 240 250 270 322	-57164779558
SPT(16)	90277524695157697	0 6 16 42 60 106 112 132 214 234 240 286 304 330 340 346	-52043217970
SPT(14)	90277543649578889	0 32 42 44 50 132 162 182 212 294 300 302 312 344	-33088796778
SPT(14)	90277546365833861	0 12 26 30 48 150 158 180 188 290 308 312 326 338	-30372541806
SPT(16)	90277556418701131	0 12 18 46 72 76 120 130 198 208 252 256 282 310 316 328	-20319674536
SPT(14)	90277590884935999	0 28 34 52 94 112 130 132 150 168 210 228 234 262	14146560332
SPT(14)	90277597278646867	0 4 12 22 40 160 162 214 216 336 354 364 372 376	20540271200
TPT(12)	90277597689948971	0 2 96 98 108 110 150 152 156 158 210 212	20951573304
SPT(14)	90277601494986817	0 6 16 42 66 106 172 174 240 280 304 330 340 346	24756611150
SPT(14)	90277612694754571	0 48 52 66 88 106 108 130 132 150 172 186 190 238	35956378904