Prime p₀= 578435986564274777 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 58 2 10 2 10 2 226 2 (?)
a_n: 0 2 180 182 240 242 252 254 264 266 492 494
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: 494
Found by: ladmo
db: batch=71, k=12, 178 58 10 10 226

SPT(14)	578435899608478441	0 18 22 28 48 70 96 112 138 160 180 186 190 208	-86955796336
SPT(14)	578435903529839611	0 42 76 90 100 126 142 156 172 198 208 222 256 298	-83034435166
SPT(14)	578435908087008173	0 38 54 90 140 170 174 230 234 264 314 350 366 404	-78477266604
SPT(14)	578435932230206213	0 36 60 120 126 146 206 210 270 290 296 356 380 416	-54334068564
TPT(12)	578435936015211689	0 2 48 50 60 62 132 134 258 260 270 272	-50549063088
TPT(12)	578435971625031977	0 2 30 32 42 44 90 92 114 116 144 146	-14939242800
SPT(14)	578435989634724737	0 26 42 60 80 126 146 180 200 246 266 284 300 326	3070449960
SPT(16)	578435996200227001	0 36 46 72 78 156 160 162 166 168 172 250 256 282 292 328	9635952224
SPT(14)	578435997380388593	0 36 66 80 96 98 224 270 396 398 414 428 458 494	10816113816
TPT(12)	578436015706786649	0 2 42 44 150 152 192 194 390 392 438 440	29142511872
SPT(14)	578436025303366519	0 4 18 24 28 64 70 102 108 144 148 154 168 172	38739091742