Prime p₀= 110913196353399677 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 10 2 94 2 (?)
a_n: 0 2 24 26 30 32 72 74 84 86 180 182
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: 182
Found by: emoga
db: batch=67, k=12, 22 4 40 10 94

SPT(14)	110913133531205219	0 8 18 32 42 60 62 90 92 110 120 134 144 152	-62822194458
SPT(14)	110913140708421041	0 6 8 20 30 50 110 156 216 236 246 258 260 266	-55644978636
SPT(14)	110913170688961231	0 10 42 52 112 132 162 166 196 216 276 286 318 328	-25664438446
SPT(14)	110913172595167037	0 2 20 32 90 102 132 140 170 182 240 252 270 272	-23758232640
SPT(14)	110913172851462551	0 20 42 48 62 78 120 140 182 198 212 218 240 260	-23501937126
SPT(14)	110913189437641177	0 34 54 60 100 112 124 132 144 156 196 202 222 256	-6915758500
SPT(14)	110913205548852079	0 70 72 84 88 114 130 132 148 174 178 190 192 262	9195452402
SPT(14)	110913213675956221	0 76 78 96 106 132 138 160 166 192 202 220 222 298	17322556544
TPT(12)	110913219817505591	0 2 36 38 90 92 246 248 258 260 288 290	23464105914
SPT(14)	110913228927988759	0 12 18 30 42 82 88 192 198 238 250 262 268 280	32574589082
SPT(14)	110913240798703129	0 10 12 52 64 78 94 138 154 168 180 220 222 232	44445303452