Prime p₀= 580659800317899857 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 82 2 4 2 82 2 106 2 46 2 (?)
a_n: 0 2 84 86 90 92 174 176 282 284 330 332
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: 332
Found by: vladimir
db: batch=71, k=12, 82 4 82 106 46

SPT(16)	580659703587345511	0 10 12 30 90 112 132 148 210 226 246 268 328 346 348 358	-96730554346
SPT(14)	580659711082405411	0 42 58 70 78 88 130 168 210 220 228 240 256 298	-89235494446
SPT(14)	580659721680732251	0 26 38 50 60 68 78 98 108 116 126 138 150 176	-78637167606
SPT(14)	580659748869733909	0 10 34 48 60 70 78 94 102 112 124 138 162 172	-51448165948
SPT(14)	580659757591440881	0 30 60 72 90 92 116 186 210 212 230 242 272 302	-42726458976
SPT(14)	580659782537502419	0 12 38 50 72 104 120 182 198 230 252 264 290 302	-17780397438
SPT(14)	580659819391846867	0 100 142 144 162 180 234 310 364 382 400 402 444 544	19073947010
SPT(14)	580659834597435121	0 42 58 78 88 148 172 198 222 282 292 312 328 370	34279535264
SPT(14)	580659847455833137	0 94 100 142 150 154 172 192 210 214 222 264 270 364	47137933280
TPT(12)	580659850331839931	0 2 30 32 168 170 186 188 246 248 300 302	50013940074
TPT(12)	580659854793054767	0 2 12 14 90 92 174 176 222 224 234 236	54475154910