Prime p₀= 347337158245180709 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 22 2 58 2 4 2 (?)
a_n: 0 2 12 14 48 50 72 74 132 134 138 140
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: 140
Found by: nenym
db: batch=70, k=12, 10 34 22 58 4

TPT(12)	347337039978888917	0 2 24 26 72 74 84 86 144 146 150 152	-118266291792
SPT(16)	347337078080013233	0 6 36 50 60 66 78 80 84 86 98 104 114 128 158 164	-80165167476
SPT(14)	347337096346125737	0 62 120 132 152 192 194 330 332 372 392 404 462 524	-61899054972
SPT(14)	347337102898616791	0 42 78 108 112 120 126 142 148 156 160 190 226 268	-55346563918
SPT(14)	347337103621086031	0 10 12 22 36 46 52 96 102 112 126 136 138 148	-54624094678
SPT(16)	347337114950806319	0 14 54 62 80 104 122 132 230 240 258 282 300 308 348 362	-43294374390
SPT(14)	347337183939833993	0 44 50 78 86 98 104 120 126 138 146 174 180 224	25694653284
SPT(14)	347337191525809591	0 40 58 66 88 96 100 108 112 120 142 150 168 208	33280628882
TPT(12)	347337193150195607	0 2 30 32 60 62 72 74 84 86 144 146	34905014898
SPT(14)	347337211790749879	0 18 24 34 40 52 130 132 210 222 228 238 244 262	53545569170
SPT(16)	347337211836048641	0 6 8 26 30 42 50 86 102 138 146 158 162 180 182 188	53590867932