Prime p₀= 81001758168746711 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 166 2 16 2 22 2 (?)
a_n: 0 2 18 20 60 62 228 230 246 248 270 272
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: RFGuy_KCCO
db: batch=67, k=12, 16 40 166 16 22

SPT(14)	81001711479606439	0 18 64 78 130 168 174 238 244 282 334 348 394 412	-46689140272
TPT(12)	81001726898119409	0 2 48 50 72 74 90 92 180 182 228 230	-31270627302
SPT(14)	81001727118511249	0 22 72 94 120 138 142 150 154 172 198 220 270 292	-31050235462
TPT(12)	81001733734719947	0 2 30 32 84 86 120 122 144 146 162 164	-24434026764
SPT(14)	81001744709103263	0 24 36 80 90 206 260 414 468 584 594 638 650 674	-13459643448
TPT(12)	81001756179279431	0 2 138 140 150 152 156 158 198 200 210 212	-1989467280
SPT(14)	81001759585711669	0 28 40 60 78 90 112 138 160 172 190 210 222 250	1416964958
TPT(12)	81001761571522661	0 2 6 8 18 20 78 80 126 128 156 158	3402775950
SPT(14)	81001762534678471	0 6 10 40 48 72 82 126 136 160 168 198 202 208	4365931760
SPT(14)	81001763288088451	0 22 28 40 78 90 102 106 118 130 168 180 186 208	5119341740
TPT(12)	81001777541379029	0 2 192 194 228 230 252 254 282 284 318 320	19372632318