Prime p₀= 234214602944260061 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 172 2 4 2 70 2 10 2 (?)
a_n: 0 2 6 8 180 182 186 188 258 260 270 272
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: 272
Found by: davidBAM
db: batch=69, k=12, 4 172 4 70 10

SPT(14)	234214569645108473	0 38 50 110 128 156 176 270 290 318 336 396 408 446	-33299151588
SPT(14)	234214584687899219	0 60 74 92 104 122 134 150 162 180 192 210 224 284	-18256360842
SPT(14)	234214586164247723	0 74 80 90 114 140 150 188 198 224 248 258 264 338	-16780012338
SPT(14)	234214586933159669	0 30 42 74 90 132 134 180 182 224 240 272 284 314	-16011100392
SPT(14)	234214591745332789	0 40 52 84 108 114 120 142 148 154 178 210 222 262	-11198927272
SPT(14)	234214597760884157	0 20 32 74 84 102 110 126 134 152 162 204 216 236	-5183375904
SPT(14)	234214607673467801	0 20 32 66 80 102 132 200 230 252 266 300 312 332	4729207740
SPT(14)	234214619789583379	0 30 58 90 130 168 172 228 232 270 310 342 370 400	16845323318
SPT(14)	234214621348402217	0 42 84 102 122 144 146 180 182 204 224 242 284 326	18404142156
SPT(14)	234214624028335259	0 12 24 30 38 44 72 80 108 114 122 128 140 152	21084075198
SPT(14)	234214625372930291	0 12 26 36 38 48 92 96 140 150 152 162 176 188	22428670230