Prime p₀= 486972641296051721 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 166 2 82 2 34 2 52 2 (?)
a_n: 0 2 18 20 186 188 270 272 306 308 360 362
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: 362
Found by: RFGuy_KCCO
db: batch=70, k=12, 16 166 82 34 52

SPT(14)	486972571864627127	0 14 42 102 156 180 252 284 356 380 434 494 522 536	-69431424594
SPT(14)	486972582998738443	0 34 78 90 94 106 190 234 318 330 334 346 390 424	-58297313278
SPT(14)	486972592780248433	0 28 34 118 136 138 210 214 286 288 306 390 396 424	-48515803288
SPT(14)	486972602153763967	0 22 36 52 66 124 142 204 222 280 294 310 324 346	-39142287754
SPT(14)	486972625352133743	0 14 54 78 104 116 120 194 198 210 236 260 300 314	-15943917978
SPT(14)	486972630438474679	0 10 22 88 102 148 160 162 174 220 234 300 312 322	-10857577042
SPT(16)	486972668471894719	0 10 28 90 112 130 132 154 168 190 192 210 232 294 312 322	27175842998
STPT(10)	486972669246916997	0 2 42 44 72 74 102 104 144 146	27950865276
SPT(14)	486972676979259949	0 22 30 108 112 114 118 144 148 150 154 232 240 262	35683208228
SPT(14)	486972691855369021	0 22 60 78 102 162 168 172 178 238 262 280 318 340	50559317300
SPT(14)	486972698355958807	0 10 42 70 76 172 186 226 240 336 342 370 402 412	57059907086