Prime p₀= 679777496686183391 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 4 2 142 2 58 2 94 2 (?)
a_n: 0 2 60 62 66 68 210 212 270 272 366 368
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: 368
Found by: nenym
db: batch=72, k=12, 58 4 142 58 94

TPT(14)	679777239237095717	0 2 12 14 90 92 210 212 282 284 300 302 312 314	-257449087674
TPT(12)	679777276786048367	0 2 42 44 120 122 132 134 174 176 252 254	-219900135024
STPT(10)	679777292726006771	0 2 6 8 18 20 30 32 36 38	-203960176620
TPT(12)	679777304433920177	0 2 102 104 144 146 270 272 330 332 372 374	-192252263214
STPT(10)	679777335814898141	0 2 6 8 18 20 30 32 36 38	-160871285250
TPT(12)	679777419658644119	0 2 42 44 72 74 150 152 222 224 372 374	-77027539272
STPT(10)	679777511273784587	0 2 42 44 72 74 102 104 144 146	14587601196
TPT(12)	679777514853639107	0 2 24 26 120 122 174 176 294 296 330 332	18167455716
TPT(12)	679777642571894651	0 2 66 68 156 158 168 170 180 182 360 362	145885711260
STPT(10)	679777714834100807	0 2 12 14 42 44 72 74 84 86	218147917416
TPT(12)	679777766534076629	0 2 18 20 42 44 102 104 108 110 180 182	269847893238