Prime p₀= 87027641472040481 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 52 2 94 2 22 2 28 2 (?)
a_n: 0 2 36 38 90 92 186 188 210 212 240 242
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: nenym
db: batch=67, k=12, 34 52 94 22 28

TPT(12)	87027558259284029	0 2 30 32 78 80 90 92 228 230 258 260	-83212756452
SPT(14)	87027564522479237	0 12 72 164 194 210 236 270 296 312 342 434 494 506	-76949561244
SPT(14)	87027573778283849	0 20 50 60 98 120 132 188 200 222 260 270 300 320	-67693756632
SPT(14)	87027580071278221	0 6 48 70 72 82 100 138 156 166 168 190 232 238	-61400762260
SPT(14)	87027609139137383	0 14 114 126 138 150 170 204 224 236 248 260 360 374	-32332903098
SPT(16)	87027636890015389	0 10 22 54 120 162 240 262 282 304 382 424 490 522 534 544	-4582025092
SPT(16)	87027672951404167	0 16 54 124 142 162 166 234 292 360 364 384 402 472 510 526	31479363686
SPT(14)	87027677390928803	0 6 14 20 26 86 96 128 138 198 204 210 218 224	35918888322
SPT(14)	87027685814724167	0 6 56 80 102 116 126 146 156 170 192 216 266 272	44342683686
SPT(14)	87027689913702247	0 6 42 112 142 154 156 220 222 234 264 334 370 376	48441661766
SPT(14)	87027712421056271	0 8 42 50 62 102 132 146 176 216 228 236 270 278	70949015790