Prime p₀= 567537429937938659 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 16 2 58 2 10 2 28 2 (?)
a_n: 0 2 90 92 108 110 168 170 180 182 210 212
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: 212
Found by: nenym
db: batch=71, k=12, 88 16 58 10 28

SPT(16)	567537307399287499	0 40 88 94 102 108 112 138 154 180 184 190 198 204 252 292	-122538651160
SPT(14)	567537329670989309	0 24 30 32 74 92 150 224 282 300 342 344 350 374	-100266949350
SPT(16)	567537373714186793	0 38 56 78 98 168 176 246 290 360 368 438 458 480 498 536	-56223751866
SPT(14)	567537394834977139	0 48 118 138 154 160 172 210 222 228 244 264 334 382	-35102961520
SPT(14)	567537396441530659	0 34 42 70 84 112 148 264 300 328 342 370 378 412	-33496408000
SPT(14)	567537414366808189	0 10 30 52 54 72 118 174 220 238 240 262 282 292	-15571130470
SPT(14)	567537441474988409	0 24 42 60 68 80 90 152 162 174 182 200 218 242	11537049750
STPT(10)	567537442666562057	0 2 30 32 42 44 54 56 84 86	12728623398
SPT(14)	567537455448247049	0 30 44 50 54 78 108 110 140 164 168 174 188 218	25510308390
SPT(14)	567537462644327281	0 10 12 16 40 82 100 108 126 168 192 196 198 208	32706388622
SPT(14)	567537480899069141	0 38 48 86 102 146 152 186 192 236 252 290 300 338	50961130482