Prime p₀= 264556930210752017 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 22 2 34 2 40 2 40 2 64 2 (?)
a_n: 0 2 24 26 60 62 102 104 144 146 210 212
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: scrap
db: batch=69, k=12, 22 34 40 40 64

SPT(16)	264556853739525223	0 6 10 18 28 34 48 76 78 106 120 126 136 144 148 154	-76471226794
SPT(14)	264556854555604921	0 22 48 66 88 90 102 136 148 150 172 190 216 238	-75655147096
SPT(14)	264556858488384691	0 40 130 196 216 256 258 298 300 340 360 426 516 556	-71722367326
SPT(14)	264556860723666293	0 6 30 48 68 74 96 158 180 186 206 224 248 254	-69487085724
SPT(16)	264556873744111141	0 6 96 100 156 168 180 198 208 226 238 250 306 310 400 406	-56466640876
SPT(14)	264556897184869231	0 10 28 52 66 78 90 148 160 172 186 210 228 238	-33025882786
SPT(14)	264556931328894331	0 22 28 40 46 70 78 130 138 162 168 180 186 208	1118142314
SPT(14)	264556968387448691	0 12 36 42 80 206 210 272 276 402 440 446 470 482	38176696674
SPT(14)	264557015671020103	0 40 58 78 118 120 148 168 196 198 238 258 276 316	85460268086
SPT(14)	264557017140262489	0 4 42 70 132 172 184 198 210 250 312 340 378 382	86929510472
SPT(14)	264557022956619959	0 14 20 44 48 114 132 140 158 224 228 252 258 272	92745867942