Prime p₀= 266079017156035229 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 64 2 28 2 (?)
a_n: 0 2 12 14 18 20 102 104 168 170 198 200
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: 200
Found by: davidBAM
db: batch=69, k=12, 10 4 82 64 28

SPT(14)	266078904163273627	0 10 12 60 70 72 90 136 154 156 166 214 216 226	-112992761602
SPT(14)	266078905145989391	0 18 86 102 108 110 150 158 198 200 206 222 290 308	-112010045838
SPT(14)	266078911080814879	0 60 78 88 90 112 132 190 210 232 234 244 262 322	-106075220350
SPT(20)	266078928636664681	0 6 10 16 42 52 82 90 150 172 306 328 388 396 426 436 462 468 472 478	-88519370548
SPT(14)	266078930543839033	0 10 18 88 108 130 144 154 168 190 210 280 288 298	-86612196196
SPT(14)	266078998837495001	0 2 8 32 140 146 182 426 462 468 576 600 606 608	-18318540228
SPT(14)	266079029833541993	0 24 38 68 78 110 150 164 204 236 246 276 290 314	12677506764
SPT(14)	266079062377317557	0 12 14 30 36 60 110 246 296 320 326 342 344 356	45221282328
SPT(16)	266079072947180663	0 8 14 20 24 48 74 80 228 234 260 284 288 294 300 308	55791145434
TPT(12)	266079077555882021	0 2 6 8 90 92 138 140 228 230 270 272	60399846792
SPT(14)	266079081155503789	0 24 34 52 60 78 82 90 94 112 120 138 148 172	63999468560