Prime p₀= 429560501746116107 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 64 2 160 2 10 2 76 2 (?)
a_n: 0 2 24 26 90 92 252 254 264 266 342 344
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: 344
Found by: Cruncher Pete
db: batch=70, k=12, 22 64 160 10 76

SPT(14)	429560415291517709	0 14 38 44 72 78 80 132 134 140 168 174 198 212	-86454598398
SPT(14)	429560421579860143	0 4 28 30 34 46 88 96 138 150 154 156 180 184	-80166255964
SPT(14)	429560463733629031	0 48 70 90 96 112 130 138 156 172 178 198 220 268	-38012487076
SPT(14)	429560468016007067	0 24 50 54 80 90 102 182 194 204 230 234 260 284	-33730109040
SPT(14)	429560493804625619	0 18 38 78 104 128 174 284 330 354 380 420 440 458	-7941490488
SPT(14)	429560501512375327	0 6 54 66 90 120 124 372 376 406 430 442 490 496	-233740780
SPT(14)	429560503563464033	0 18 48 56 78 90 116 210 236 248 270 278 308 326	1817347926
SPT(14)	429560513763786187	0 4 102 124 160 180 214 222 256 276 312 334 432 436	12017670080
SPT(16)	429560519337591979	0 10 12 42 58 72 78 108 154 184 190 204 220 250 252 262	17591475872
SPT(14)	429560523339987041	0 8 60 78 80 90 140 150 200 210 212 230 282 290	21593870934
SPT(14)	429560528990271347	0 32 42 102 110 132 146 180 194 216 224 284 294 326	27244155240