Prime p₀= 414220678585853519 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 76 2 10 2 76 2 28 2 (?)
a_n: 0 2 42 44 120 122 132 134 210 212 240 242
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: 242
Found by: hase
db: batch=70, k=12, 40 76 10 76 28

TPT(12)	414220577283374549	0 2 162 164 198 200 270 272 288 290 342 344	-101302478970
SPT(14)	414220593880101947	0 2 12 54 72 80 110 126 156 164 182 224 234 236	-84705751572
SPT(14)	414220601831606981	0 20 38 42 80 102 146 162 206 228 266 270 288 308	-76754246538
SPT(16)	414220606000464101	0 42 62 90 192 222 236 276 296 336 350 380 482 510 530 572	-72585389418
SPT(14)	414220618304982901	0 12 42 102 166 168 180 268 280 282 346 406 436 448	-60280870618
SPT(14)	414220676257014229	0 12 58 64 78 108 142 150 184 214 228 234 280 292	-2328839290
TPT(12)	414220707292545869	0 2 42 44 60 62 72 74 78 80 102 104	28706692350
SPT(14)	414220726684244609	0 20 72 104 128 138 162 230 254 264 288 320 372 392	48098391090
TPT(12)	414220730334126719	0 2 48 50 78 80 132 134 150 152 180 182	51748273200
SPT(14)	414220769526377563	0 18 46 60 70 78 88 138 148 156 166 180 208 226	90940524044
TPT(12)	414220770016492499	0 2 30 32 60 62 102 104 168 170 222 224	91430638980