Prime p₀= 580848893714638889 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 178 2 4 2 40 2 (?)
a_n: 0 2 30 32 42 44 222 224 228 230 270 272
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: 272
Found by: vladimir
db: batch=71, k=12, 28 10 178 4 40

SPT(14)	580848727630967113	0 6 10 48 58 90 126 148 184 216 226 264 268 274	-166083671776
SPT(14)	580848777512656193	0 14 48 80 90 116 146 168 198 224 234 266 300 314	-116201982696
SPT(14)	580848792517457483	0 6 8 50 56 78 116 210 248 270 276 318 320 326	-101197181406
SPT(14)	580848843700869439	0 40 70 108 148 168 204 208 244 264 304 342 372 412	-50013769450
SPT(14)	580848877408684117	0 10 24 36 84 94 114 142 162 172 220 232 246 256	-16305954772
SPT(14)	580848883673229989	0 122 158 180 198 272 308 324 360 434 452 474 510 632	-10041408900
SPT(14)	580848929279436481	0 88 108 126 138 180 186 202 208 250 262 280 300 388	35564797592
TPT(12)	580848929760549341	0 2 48 50 78 80 138 140 150 152 306 308	36045910452
TPT(12)	580848965112748271	0 2 30 32 78 80 186 188 210 212 216 218	71398109382
SPT(14)	580848974959158811	0 12 22 28 48 58 72 76 90 100 120 126 136 148	81244519922
TPT(14)	580849006431865877	0 2 12 14 114 116 180 182 192 194 210 212 294 296	112717226988