Prime p₀= 78271017645103301 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 76 2 70 2 58 2 40 2 (?)
a_n: 0 2 18 20 96 98 168 170 228 230 270 272
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 76 70 58 40

SPT(16)	78270958622401999	0 4 24 48 70 82 124 130 132 138 180 192 214 238 258 262	-59022701302
SPT(14)	78270979088906017	0 12 36 40 94 112 144 172 204 222 276 280 304 316	-38556197284
SPT(14)	78270988406229677	0 6 104 126 134 156 210 296 350 372 380 402 500 506	-29238873624
TPT(12)	78270993622180199	0 2 42 44 78 80 120 122 150 152 192 194	-24022923102
SPT(14)	78271000633162807	0 30 42 60 72 82 184 252 354 364 376 394 406 436	-17011940494
SPT(14)	78271003387151389	0 12 24 28 34 52 84 118 150 168 174 178 190 202	-14257951912
SPT(14)	78271020269347907	0 2 26 74 86 96 114 122 140 150 162 210 234 236	2624244606
STPT(10)	78271074821786027	0 2 24 26 42 44 60 62 84 86	57176682726
SPT(14)	78271081724361577	0 30 52 64 84 112 132 214 234 262 282 294 316 346	64079258276
SPT(14)	78271092268961863	0 6 10 18 40 60 96 208 244 264 286 294 298 304	74623858562
TPT(12)	78271093330856549	0 2 60 62 90 92 180 182 258 260 270 272	75685753248