Prime p₀= 673994388995677361 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 106 2 10 2 88 2 46 2 130 2 (?)
a_n: 0 2 108 110 120 122 210 212 258 260 390 392
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: 392
Found by: gemini8
db: batch=72, k=12, 106 10 88 46 130

TPT(12)	673994035723290239	0 2 12 14 42 44 60 62 102 104 138 140	-353272387122
SPT(16)	673994131353945793	0 34 40 100 108 124 136 150 184 198 210 226 234 294 300 334	-257641731568
TPT(12)	673994192033832587	0 2 24 26 30 32 162 164 192 194 234 236	-196961844774
TPT(12)	673994224522656929	0 2 12 14 78 80 90 92 348 350 390 392	-164473020432
SPT(16)	673994290874565467	0 2 6 32 60 74 92 102 104 114 132 146 174 200 204 206	-98121111894
STPT(10)	673994294682049109	0 2 18 20 30 32 42 44 60 62	-94313628252
TPT(12)	673994511608157149	0 2 132 134 168 170 198 200 252 254 258 260	122612479788
TPT(12)	673994528908857899	0 2 12 14 30 32 72 74 78 80 138 140	139913180538
SPT(16)	673994600870953891	0 6 40 46 70 90 96 106 180 190 196 216 240 246 280 286	211875276530
TPT(12)	673994622513113567	0 2 72 74 150 152 162 164 210 212 240 242	233517436206
SPT(16)	673994655218531683	0 54 70 78 124 138 144 154 180 190 196 210 256 264 280 334	266222854322