Prime p₀= 164836782287684069 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 166 2 22 2 94 2 52 2 34 2 (?)
a_n: 0 2 168 170 192 194 288 290 342 344 378 380
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: 380
Found by: Dario666
db: batch=67, k=12, 166 22 94 52 34

SPT(14)	164836712764433803	0 18 30 36 46 100 118 156 174 228 238 244 256 274	-69523250266
SPT(14)	164836716867992483	0 20 54 74 108 144 186 188 230 266 300 320 354 374	-65419691586
STPT(10)	164836731288250067	0 2 54 56 72 74 90 92 144 146	-50999434002
SPT(14)	164836744800783389	0 20 60 78 138 158 192 218 252 272 332 350 390 410	-37486900680
SPT(14)	164836758779466619	0 42 48 54 60 70 84 88 102 112 118 124 130 172	-23508217450
SPT(14)	164836761652107487	0 12 22 34 40 60 76 90 106 126 132 144 154 166	-20635576582
SPT(14)	164836789944629021	0 66 102 108 150 170 176 192 198 218 260 266 302 368	7656944952
SPT(14)	164836803619613929	0 52 94 178 228 238 264 268 294 304 354 438 480 532	21331929860
SPT(14)	164836805698238327	0 20 26 44 56 84 86 90 92 120 132 150 156 176	23410554258
TPT(12)	164836830964442849	0 2 18 20 42 44 60 62 90 92 102 104	48676758780
SPT(14)	164836837349344477	0 22 70 72 84 120 126 130 136 172 184 186 234 256	55061660408