Prime p₀= 164968759979903777 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 52 2 16 2 16 2 22 2 (?)
a_n: 0 2 30 32 84 86 102 104 120 122 144 146
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: 146
Found by: ChelseaOilman
db: batch=67, k=12, 28 52 16 16 22

SPT(14)	164968698546130079	0 20 60 72 80 90 122 132 164 174 182 194 234 254	-61433773698
TPT(12)	164968707361830341	0 2 6 8 60 62 180 182 210 212 270 272	-52618073436
SPT(16)	164968708849897319	0 30 42 48 98 110 132 152 168 188 210 222 272 278 290 320	-51130006458
TPT(12)	164968730162465807	0 2 12 14 42 44 54 56 90 92 114 116	-29817437970
SPT(14)	164968736251811213	0 30 66 74 128 144 186 218 260 276 330 338 374 404	-23728092564
SPT(14)	164968739170514371	0 52 60 72 100 130 136 186 192 222 250 262 270 322	-20809389406
SPT(14)	164968774132182239	0 18 32 50 92 120 140 150 170 198 240 258 272 290	14152278462
SPT(14)	164968788404962967	0 6 24 62 110 116 144 272 300 306 354 392 410 416	28425059190
SPT(14)	164968805198353951	0 22 42 72 82 100 130 138 168 186 196 226 246 268	45218450174
SPT(14)	164968823146228931	0 20 26 32 36 48 62 126 140 152 156 162 168 188	63166325154
SPT(16)	164968829682787517	0 44 50 56 72 134 170 176 210 216 252 314 330 336 342 386	69702883740