Prime p₀= 120629012170748441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 70 2 10 2 28 2 34 2 (?)
a_n: 0 2 66 68 138 140 150 152 180 182 216 218
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: 218
Found by: Vit Kliber
db: batch=67, k=12, 64 70 10 28 34

SPT(14)	120628957784586707	0 26 42 56 80 84 92 114 122 126 150 164 180 206	-54386161734
SPT(14)	120628972257294871	0 16 42 60 82 100 142 156 198 216 238 256 282 298	-39913453570
SPT(14)	120628982018378479	0 10 18 28 60 72 78 94 100 112 144 154 162 172	-30152369962
SPT(14)	120628988378478611	0 36 50 66 72 78 98 150 170 176 182 198 212 248	-23792269830
SPT(16)	120628991594831471	0 6 26 38 48 56 108 126 152 170 222 230 240 252 272 278	-20575916970
SPT(14)	120629002296744959	0 12 68 84 98 140 150 212 222 264 278 294 350 362	-9874003482
TPT(12)	120629022470317547	0 2 30 32 60 62 102 104 114 116 132 134	10299569106
SPT(16)	120629026813121521	0 16 18 22 58 60 76 88 90 102 118 120 156 160 162 178	14642373080
SPT(14)	120629039013297541	0 30 52 108 178 238 258 262 282 342 412 468 490 520	26842549100
SPT(14)	120629053244069707	0 10 12 42 46 54 72 94 112 120 124 154 156 166	41073321266
SPT(14)	120629077225241699	0 24 50 78 90 98 104 204 210 218 230 258 284 308	65054493258