Prime p₀= 171021316157422649 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 52 2 154 2 10 2 10 2 (?)
a_n: 0 2 18 20 72 74 228 230 240 242 252 254
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: 254
Found by: emoga
db: batch=67, k=12, 16 52 154 10 10

SPT(14)	171021269912451311	0 2 68 72 78 86 92 126 132 140 146 150 216 218	-46244971338
SPT(14)	171021270591840301	0 22 72 120 198 268 282 286 300 370 448 496 546 568	-45565582348
SPT(14)	171021279561282217	0 22 30 34 36 64 82 114 132 160 162 166 174 196	-36596140432
SPT(14)	171021286563015149	0 8 30 42 50 62 78 92 108 120 128 140 162 170	-29594407500
SPT(14)	171021298189263629	0 2 8 18 74 92 104 228 240 258 314 324 330 332	-17968159020
SPT(16)	171021306881521021	0 6 46 48 102 142 172 190 198 216 246 286 340 342 382 388	-9275901628
SPT(14)	171021316948174547	0 44 50 56 72 74 86 150 162 164 180 186 192 236	790751898
SPT(14)	171021323944410671	0 20 26 30 42 56 102 140 186 200 212 216 222 242	7786988022
SPT(14)	171021329245976173	0 16 28 30 40 48 96 238 286 294 304 306 318 334	13088553524
SPT(16)	171021340879588867	0 6 42 52 66 70 72 90 136 154 156 160 174 184 220 226	24722166218
SPT(14)	171021345655478317	0 60 82 84 112 156 186 220 250 294 322 324 346 406	29498055668