Prime p₀= 536593206512366411 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 16 2 52 2 166 2 10 2 (?)
a_n: 0 2 18 20 36 38 90 92 258 260 270 272
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: Vato
db: batch=56, k=12, 16 16 52 166 10

SPT(14)	536593089823017107	0 2 30 66 86 96 110 126 140 150 170 206 234 236	-116689349304
SPT(14)	536593095182830321	0 12 28 42 72 142 202 258 318 388 418 432 448 460	-111329536090
SPT(14)	536593097109939437	0 24 66 74 84 116 126 140 150 182 192 200 242 266	-109402426974
SPT(14)	536593097153071787	0 6 24 54 72 80 86 90 96 104 122 152 170 176	-109359294624
TPT(12)	536593125405769097	0 2 12 14 72 74 84 86 120 122 162 164	-81106597314
TPT(16)	536593177648886249	0 2 12 14 78 80 132 134 138 140 192 194 222 224 258 260	-28863480162
SPT(14)	536593212357953089	0 34 40 70 94 100 108 124 132 138 162 192 198 232	5845586678
SPT(16)	536593222023904037	0 14 24 26 42 54 66 104 132 170 182 194 210 212 222 236	15511537626
SPT(14)	536593237548661123	0 10 46 48 70 90 96 160 166 186 208 210 246 256	31036294712
SPT(14)	536593251043264421	0 42 96 146 152 156 248 300 392 396 402 452 506 548	44530898010
SPT(14)	536593257962123443	0 34 60 70 90 184 196 228 240 334 354 364 390 424	51449757032