Prime p₀= 12611624089406687 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 16 2 28 2 10 2 118 2 (?)
a_n: 0 2 72 74 90 92 120 122 132 134 252 254
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=62, k=12, 70 16 28 10 118

SPT(16)	12611577925242137	0 2 6 24 32 66 72 74 132 134 140 174 182 200 204 206	-46164164550
SPT(14)	12611579827888949	0 12 32 62 102 110 120 164 174 182 222 252 272 284	-44261517738
SPT(14)	12611603949338923	0 18 60 70 88 96 114 130 148 156 174 184 226 244	-20140067764
SPT(14)	12611620536076739	0 8 30 50 84 92 102 140 150 158 192 212 234 242	-3553329948
SPT(14)	12611620751049941	0 20 132 140 150 158 162 188 192 200 210 218 330 350	-3338356746
SPT(16)	12611623823287649	0 20 42 80 98 108 122 138 182 198 212 222 240 278 300 320	-266119038
SPT(14)	12611629639919231	0 6 12 20 38 48 80 108 140 150 168 176 182 188	5550512544
SPT(14)	12611638035885991	0 12 42 48 60 70 78 130 138 148 160 166 196 208	13946479304
SPT(14)	12611638298859419	0 32 68 72 78 84 180 182 278 284 290 294 330 362	14209452732
TPT(12)	12611642748781199	0 2 12 14 48 50 102 104 132 134 138 140	18659374512
SPT(14)	12611643733012301	0 6 42 68 102 152 162 206 216 266 300 326 362 368	19643605614