Prime p₀= 337358111245871267 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 82 2 46 2 70 2 4 2 (?)
a_n: 0 2 60 62 144 146 192 194 264 266 270 272
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: 272
Found by: [SG-FC] hl
db: batch=70, k=12, 58 82 46 70 4

SPT(14)	337358039530784407	0 6 66 106 120 150 196 210 256 286 300 340 400 406	-71715086860
SPT(16)	337358040363078277	0 46 70 72 90 96 112 124 132 144 160 166 184 186 210 256	-70882792990
SPT(14)	337358065685939659	0 18 22 60 130 144 154 258 268 282 352 390 394 412	-45559931608
SPT(14)	337358073599034949	0 28 48 60 82 90 174 178 262 270 292 304 324 352	-37646836318
SPT(14)	337358091008620043	0 20 50 108 146 168 176 300 308 330 368 426 456 476	-20237251224
SPT(14)	337358092342989469	0 12 22 30 48 72 148 174 250 274 292 300 310 322	-18902881798
STPT(10)	337358125511461931	0 2 30 32 60 62 90 92 120 122	14265590664
SPT(14)	337358179594500863	0 24 38 54 68 110 186 218 294 336 350 366 380 404	68348629596
STPT(10)	337358185866770207	0 2 12 14 42 44 72 74 84 86	74620898940
SPT(14)	337358196499160647	0 4 40 42 54 66 82 144 160 172 184 186 222 226	85253289380
TPT(12)	337358198332713011	0 2 60 62 108 110 150 152 156 158 186 188	87086841744