Prime p₀= 69371919492728141 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 40 2 4 2 58 2 22 2 (?)
a_n: 0 2 78 80 120 122 126 128 186 188 210 212
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: Alez
db: batch=67, k=12, 76 40 4 58 22

TPT(12)	69371851520909489	0 2 12 14 138 140 168 170 180 182 192 194	-67971818652
SPT(14)	69371873117724053	0 6 24 44 74 104 126 188 210 240 270 290 308 314	-46375004088
SPT(14)	69371887420025677	0 40 42 90 130 132 142 144 154 156 196 244 246 286	-32072702464
SPT(14)	69371910318991171	0 30 36 48 118 162 166 192 196 240 310 322 328 358	-9173736970
SPT(14)	69371915285456213	0 6 30 44 56 110 140 264 294 348 360 374 398 404	-4207271928
TPT(12)	69371916279383537	0 2 24 26 42 44 54 56 120 122 150 152	-3213344604
SPT(14)	69371920155634583	0 14 50 110 114 126 128 186 188 200 204 264 300 314	662906442
SPT(14)	69371931564590311	0 10 16 40 46 70 88 108 126 150 156 180 186 196	12071862170
SPT(14)	69371934469185217	0 4 22 24 30 34 42 52 60 64 70 72 90 94	14976457076
SPT(14)	69371949017832613	0 40 60 66 136 148 216 250 318 330 400 406 426 466	29525104472
TPT(12)	69371950788339299	0 2 18 20 72 74 168 170 198 200 282 284	31295611158