Prime p₀= 162563502198362327 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 196 2 52 2 16 2 10 2 (?)
a_n: 0 2 12 14 210 212 264 266 282 284 294 296
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: 296
Found by: Alez
db: batch=67, k=12, 10 196 52 16 10

TPT(12)	162563435718039329	0 2 72 74 138 140 150 152 210 212 288 290	-66480322998
TPT(12)	162563463733552289	0 2 42 44 132 134 258 260 300 302 330 332	-38464810038
TPT(12)	162563467636416071	0 2 36 38 66 68 78 80 96 98 156 158	-34561946256
SPT(14)	162563475373828027	0 46 52 114 130 136 192 364 420 426 442 504 510 556	-26824534300
SPT(14)	162563479207814089	0 28 34 58 84 100 124 144 168 184 210 234 240 268	-22990548238
SPT(14)	162563501152328989	0 4 30 58 70 72 84 88 100 102 114 142 168 172	-1046033338
SPT(14)	162563506334547677	0 2 20 24 30 80 90 116 126 176 182 186 204 206	4136185350
SPT(16)	162563509050710549	0 12 48 78 92 152 174 234 248 308 330 390 404 434 470 482	6852348222
SPT(14)	162563519401049731	0 18 48 76 130 142 150 178 186 198 252 280 310 328	17202687404
SPT(14)	162563520586740751	0 10 36 46 58 60 66 70 76 78 90 100 126 136	18388378424
TPT(12)	162563527424699369	0 2 42 44 78 80 132 134 138 140 180 182	25226337042