Prime p₀= 27440081579619977 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 82 2 16 2 10 2 58 2 (?)
a_n: 0 2 30 32 114 116 132 134 144 146 204 206
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: 206
Found by: [AF>Libristes] ElGuillermo
db: batch=65, k=12, 28 82 16 10 58

TPT(12)	27440031933848621	0 2 96 98 300 302 360 362 486 488 558 560	-49645771356
SPT(14)	27440036796139367	0 36 50 72 86 126 210 212 296 336 350 372 386 422	-44783480610
SPT(14)	27440039816895631	0 6 18 48 90 102 118 120 136 148 190 220 232 238	-41762724346
STPT(10)	27440040364243007	0 2 54 56 72 74 90 92 144 146	-41215376970
SPT(14)	27440063998318561	0 16 18 28 78 100 126 130 156 178 228 238 240 256	-17581301416
SPT(14)	27440074529828101	0 10 42 88 102 126 130 228 232 256 270 316 348 358	-7049791876
SPT(14)	27440091246066907	0 42 46 94 160 196 234 322 360 396 462 510 514 556	9666446930
SPT(14)	27440092338730147	0 24 52 66 124 130 154 192 216 222 280 294 322 346	10759110170
SPT(14)	27440101985415121	0 6 18 22 28 30 72 106 148 150 156 160 172 178	20405795144
SPT(14)	27440106353320819	0 28 30 34 54 130 160 168 198 274 294 298 300 328	24773700842
SPT(14)	27440116424794523	0 14 36 66 90 134 140 234 240 284 308 338 360 374	34845174546