Prime p₀= 131501855833034381 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 28 2 22 2 64 2 40 2 (?)
a_n: 0 2 6 8 36 38 60 62 126 128 168 170
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: 170
Found by: [SG] blAckmAmbA
db: batch=67, k=12, 4 28 22 64 40

TPT(12)	131501810246921111	0 2 48 50 126 128 156 158 186 188 216 218	-45586113270
TPT(12)	131501818402128947	0 2 84 86 132 134 192 194 210 212 222 224	-37430905434
SPT(14)	131501819498579281	0 10 12 52 66 70 78 100 108 112 126 166 168 178	-36334455100
SPT(14)	131501829750647947	0 16 22 52 64 66 100 126 160 162 174 204 210 226	-26082386434
SPT(14)	131501839848254377	0 12 22 46 60 66 82 90 106 112 126 150 160 172	-15984780004
TPT(12)	131501846210849759	0 2 30 32 72 74 78 80 138 140 162 164	-9622184622
SPT(14)	131501862709350541	0 6 16 46 66 132 160 168 196 262 282 312 322 328	6876316160
SPT(14)	131501865227971111	0 18 42 52 82 96 108 130 142 156 186 196 220 238	9394936730
SPT(14)	131501867944668469	0 28 58 70 138 150 154 234 238 250 318 330 360 388	12111634088
SPT(14)	131501871520111657	0 10 12 22 42 90 112 174 196 244 264 274 276 286	15687077276
SPT(14)	131501876703515359	0 10 12 34 40 52 72 112 132 144 150 172 174 184	20870480978