Prime p₀= 128269164529572791 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 16 2 10 2 58 2 10 2 (?)
a_n: 0 2 138 140 156 158 168 170 228 230 240 242
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: amazing
db: batch=67, k=12, 136 16 10 58 10

SPT(16)	128269086946767301	0 16 36 58 78 150 160 166 192 198 208 280 300 322 342 358	-77582805490
TPT(14)	128269108843575629	0 2 12 14 18 20 72 74 150 152 210 212 270 272	-55685997162
SPT(14)	128269111579634191	0 18 46 126 130 168 192 196 220 258 262 342 370 388	-52949938600
SPT(16)	128269147670545421	0 18 50 86 108 116 168 200 288 320 372 380 402 438 470 488	-16859027370
SPT(14)	128269156804633573	0 16 36 106 150 156 198 226 268 274 318 388 408 424	-7724939218
SPT(14)	128269161907415929	0 30 54 78 112 138 144 208 214 240 274 298 322 352	-2622156862
SPT(14)	128269190251037411	0 2 8 30 38 72 78 92 98 132 140 162 168 170	25721464620
SPT(14)	128269199539596883	0 34 36 40 60 84 106 144 166 190 210 214 216 250	35010024092
SPT(14)	128269209148848739	0 10 28 90 112 160 192 220 252 300 322 384 402 412	44619275948
SPT(14)	128269210090125571	0 76 112 120 130 172 186 316 330 372 382 390 426 502	45560552780
TPT(12)	128269213734026921	0 2 48 50 90 92 108 110 210 212 306 308	49204454130