Prime p₀= 123459344202658967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 16 2 40 2 94 2 10 2 (?)
a_n: 0 2 24 26 42 44 84 86 180 182 192 194
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: 194
Found by: paulteo
db: batch=67, k=12, 22 16 40 94 10

SPT(14)	123459299486298229	0 18 28 90 108 124 130 132 138 154 172 234 244 262	-44716360738
SPT(14)	123459310172313977	0 32 42 60 80 102 110 114 122 144 164 182 192 224	-34030344990
TPT(12)	123459310510014359	0 2 18 20 72 74 102 104 108 110 138 140	-33692644608
SPT(14)	123459319612998037	0 4 16 22 34 142 144 172 174 282 294 300 312 316	-24589660930
SPT(14)	123459323093989511	0 30 32 56 62 66 96 116 146 150 156 180 182 212	-21108669456
SPT(14)	123459341842422757	0 34 52 70 72 106 120 196 210 244 246 264 282 316	-2360236210
SPT(14)	123459348745410539	0 30 32 42 44 78 80 162 164 198 200 210 212 242	4542751572
TPT(12)	123459348745410569	0 2 12 14 48 50 132 134 168 170 180 182	4542751602
STPT(12)	123459348745410569	0 2 12 14 48 50 132 134 168 170 180 182	4542751602
SPT(14)	123459350235060331	0 42 66 76 90 112 118 120 126 148 162 172 196 238	6032401364
SPT(14)	123459353020766929	0 4 12 70 78 82 124 168 210 214 222 280 288 292	8818107962