Prime p₀= 313972131735655229 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 58 2 46 2 88 2 (?)
a_n: 0 2 42 44 72 74 132 134 180 182 270 272
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: desktop64
db: batch=70, k=12, 40 28 58 46 88

SPT(14)	313972062388910641	0 18 28 42 48 66 70 108 112 130 136 150 160 178	-69346744588
SPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-45910884432
STPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-45910884432
TPT(14)	313972085824770797	0 2 12 14 54 56 72 74 90 92 132 134 144 146	-45910884432
SPT(14)	313972104434623493	0 14 26 56 84 108 110 174 176 200 228 258 270 284	-27301031736
SPT(14)	313972110201415433	0 6 56 98 120 138 230 264 356 374 396 438 488 494	-21534239796
TPT(12)	313972140004960049	0 2 30 32 72 74 90 92 132 134 222 224	8269304820
SPT(16)	313972154631658297	0 22 42 52 106 144 150 154 162 166 172 210 264 274 294 316	22896003068
TPT(12)	313972170688704191	0 2 30 32 108 110 180 182 186 188 276 278	38953048962
SPT(14)	313972191047312659	0 24 52 64 70 82 124 168 210 222 228 240 268 292	59311657430
SPT(14)	313972211543580869	0 44 80 104 114 170 192 230 252 308 318 342 378 422	79807925640