Prime p₀= 673994511608157149 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 130 2 34 2 28 2 52 2 4 2 (?)
a_n: 0 2 132 134 168 170 198 200 252 254 258 260
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: 260
Found by: gemini8
db: batch=72, k=12, 130 34 28 52 4

SPT(16)	673994131353945793	0 34 40 100 108 124 136 150 184 198 210 226 234 294 300 334	-380254211356
TPT(12)	673994192033832587	0 2 24 26 30 32 162 164 192 194 234 236	-319574324562
TPT(12)	673994224522656929	0 2 12 14 78 80 90 92 348 350 390 392	-287085500220
SPT(16)	673994290874565467	0 2 6 32 60 74 92 102 104 114 132 146 174 200 204 206	-220733591682
STPT(10)	673994294682049109	0 2 18 20 30 32 42 44 60 62	-216926108040
TPT(12)	673994388995677361	0 2 108 110 120 122 210 212 258 260 390 392	-122612479788
TPT(12)	673994528908857899	0 2 12 14 30 32 72 74 78 80 138 140	17300700750
SPT(16)	673994600870953891	0 6 40 46 70 90 96 106 180 190 196 216 240 246 280 286	89262796742
TPT(12)	673994622513113567	0 2 72 74 150 152 162 164 210 212 240 242	110904956418
SPT(16)	673994655218531683	0 54 70 78 124 138 144 154 180 190 196 210 256 264 280 334	143610374534
TPT(12)	673994656303551809	0 2 30 32 42 44 72 74 78 80 90 92	144695394660