Prime p₀= 177427506197347727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 40 2 88 2 130 2 76 2 (?)
a_n: 0 2 60 62 102 104 192 194 324 326 402 404
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: 404
Found by: ChelseaOilman
db: batch=67, k=12, 58 40 88 130 76

SPT(14)	177427459275530141	0 30 42 72 80 98 126 182 210 228 236 266 278 308	-46921817586
STPT(10)	177427468472091317	0 2 30 32 42 44 54 56 84 86	-37725256410
SPT(14)	177427471260157631	0 8 42 50 116 120 126 182 188 192 258 266 300 308	-34937190096
SPT(14)	177427484392066891	0 36 48 52 66 82 162 166 246 262 276 280 292 328	-21805280836
SPT(14)	177427487550409703	0 14 38 48 54 60 78 80 98 104 110 120 144 158	-18646938024
SPT(14)	177427503347980399	0 10 22 42 48 52 78 82 108 112 118 138 150 160	-2849367328
SPT(14)	177427515359840089	0 10 82 84 102 114 138 154 178 190 208 210 282 292	9162492362
TPT(12)	177427535371825229	0 2 72 74 78 80 108 110 162 164 192 194	29174477502
SPT(14)	177427552965485899	0 30 42 70 72 90 142 168 220 238 240 268 280 310	46768138172
SPT(14)	177427560203793371	0 2 36 42 50 98 108 110 120 168 176 182 216 218	54006445644
SPT(16)	177427570284650993	0 54 80 84 86 146 150 168 296 314 318 378 380 384 410 464	64087303266