Prime p₀= 527641311792788951 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 220 2 28 2 88 2 46 2 (?)
a_n: 0 2 36 38 258 260 288 290 378 380 426 428
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: 428
Found by: gemini8
db: batch=71, k=12, 34 220 28 88 46

TPT(12)	527641241996862281	0 2 156 158 198 200 210 212 276 278 318 320	-69795926670
SPT(16)	527641253638082393	0 20 66 80 96 104 120 150 164 194 210 218 234 248 294 314	-58154706558
SPT(16)	527641277481945331	0 22 40 70 130 196 220 222 370 372 396 462 522 552 570 592	-34310843620
SPT(14)	527641280424262931	0 12 20 62 66 146 180 182 216 296 300 342 350 362	-31368526020
SPT(16)	527641285428365557	0 4 10 30 64 72 102 114 142 154 184 192 226 246 252 256	-26364423394
SPT(14)	527641303920478301	0 8 30 72 80 140 152 168 180 240 248 290 312 320	-7872310650
SPT(14)	527641313458632421	0 28 48 102 112 126 130 138 142 156 166 220 240 268	1665843470
SPT(14)	527641321549992709	0 42 90 114 120 132 154 168 190 202 208 232 280 322	9757203758
SPT(14)	527641333457438237	0 42 50 60 66 102 116 126 140 176 182 192 200 242	21664649286
SPT(14)	527641349375407769	0 14 24 50 60 78 104 138 164 182 192 218 228 242	37582618818
TPT(12)	527641388972874731	0 2 90 92 126 128 198 200 258 260 300 302	77180085780