Prime p₀= 262501294986719681 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 10 2 28 2 34 2 40 2 (?)
a_n: 0 2 48 50 60 62 90 92 126 128 168 170
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: 170
Found by: Paul
db: batch=69, k=12, 46 10 28 34 40

TPT(12)	262501258727394857	0 2 30 32 42 44 60 62 120 122 162 164	-36259324824
SPT(14)	262501267559028427	0 24 30 34 54 70 72 112 114 130 150 154 160 184	-27427691254
SPT(14)	262501269257201287	0 4 40 70 82 154 162 172 180 252 264 294 330 334	-25729518394
STPT(10)	262501276795995581	0 2 36 38 78 80 120 122 156 158	-18190724100
SPT(14)	262501289030940241	0 10 52 66 72 90 130 282 322 340 346 360 402 412	-5955779440
SPT(14)	262501290967008263	0 8 24 30 78 108 134 150 176 206 254 260 276 284	-4019711418
TPT(12)	262501295878762481	0 2 30 32 36 38 60 62 78 80 156 158	892042800
SPT(14)	262501298849821243	0 10 34 36 88 148 168 196 216 276 328 330 354 364	3863101562
SPT(14)	262501301094777169	0 10 34 124 148 162 172 210 220 234 258 348 372 382	6108057488
SPT(14)	262501331929875781	0 30 36 72 96 106 142 150 186 196 220 256 262 292	36943156100
SPT(14)	262501344358593671	0 42 56 60 86 132 146 156 170 216 242 246 260 302	49371873990