Prime p₀= 110912532580342697 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 46 2 40 2 46 2 (?)
a_n: 0 2 12 14 24 26 72 74 114 116 162 164
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: 164
Found by: emoga
db: batch=67, k=12, 10 10 46 40 46

SPT(14)	110912493750358721	0 12 32 80 122 152 176 252 276 306 348 396 416 428	-38829983976
SPT(14)	110912499126985279	0 22 52 78 100 120 124 138 142 162 184 210 240 262	-33453357418
SPT(14)	110912503974233237	0 14 20 42 56 96 152 204 260 300 314 336 342 356	-28606109460
TPT(12)	110912509286172197	0 2 30 32 90 92 132 134 162 164 204 206	-23294170500
SPT(14)	110912514139822247	0 42 74 90 110 114 132 164 182 186 206 222 254 296	-18440520450
SPT(16)	110912525125244399	0 18 30 44 72 98 138 174 308 344 384 410 438 452 464 482	-7455098298
SPT(14)	110912534164639699	0 30 42 48 72 78 84 108 114 120 144 150 162 192	1584297002
SPT(14)	110912559782042087	0 12 26 32 42 66 80 186 200 224 234 240 254 266	27201699390
SPT(14)	110912563317515117	0 6 14 36 74 104 116 120 132 162 200 222 230 236	30737172420
SPT(14)	110912577230474321	0 2 80 86 122 128 152 156 180 186 222 228 306 308	44650131624
SPT(14)	110912596386107797	0 4 12 22 36 64 66 100 102 130 144 154 162 166	63805765100