Prime p₀= 165000555995025761 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 70 2 148 2 70 2 28 2 (?)
a_n: 0 2 36 38 108 110 258 260 330 332 360 362
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: 362
Found by: stoneageman
db: batch=67, k=12, 34 70 148 70 28

TPT(12)	165000531941523077	0 2 60 62 72 74 114 116 282 284 354 356	-24053502684
SPT(14)	165000536997121277	0 6 12 62 90 152 174 182 204 266 294 344 350 356	-18997904484
TPT(12)	165000542951902349	0 2 30 32 102 104 150 152 168 170 360 362	-13043123412
TPT(12)	165000546043516409	0 2 30 32 78 80 120 122 198 200 210 212	-9951509352
SPT(14)	165000546771899609	0 38 78 92 162 168 198 302 332 338 408 422 462 500	-9223126152
TPT(12)	165000555030390839	0 2 12 14 90 92 102 104 138 140 240 242	-964634922
TPT(12)	165000586197163859	0 2 42 44 72 74 132 134 228 230 270 272	30202138098
SPT(14)	165000607978483063	0 24 28 90 94 96 106 168 178 180 184 246 250 274	51983457302
TPT(12)	165000648995904647	0 2 72 74 102 104 252 254 300 302 312 314	93000878886
SPT(16)	165000662955163667	0 42 90 114 132 144 156 186 230 260 272 284 302 326 374 416	106960137906
SPT(14)	165000699237391957	0 4 42 60 64 76 90 106 120 132 136 154 192 196	143242366196