Prime p₀= 129541347381096041 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 40 2 40 2 34 2 22 2 (?)
a_n: 0 2 66 68 108 110 150 152 186 188 210 212
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: Dr Who Fan
db: batch=67, k=12, 64 40 40 34 22

SPT(14)	129541297455492319	0 28 52 60 78 102 154 168 220 244 262 270 294 322	-49925603722
SPT(14)	129541311848275913	0 6 24 48 78 80 98 126 144 146 176 200 218 224	-35532820128
SPT(14)	129541317761315393	0 14 36 48 96 114 128 216 230 248 296 308 330 344	-29619780648
SPT(14)	129541322530887851	0 2 38 68 126 132 138 140 146 152 210 240 276 278	-24850208190
TPT(12)	129541330578954779	0 2 18 20 42 44 60 62 78 80 90 92	-16802141262
TPT(12)	129541346198346659	0 2 42 44 78 80 120 122 132 134 192 194	-1182749382
SPT(14)	129541360749565621	0 30 36 42 76 112 202 246 336 372 406 412 418 448	13368469580
SPT(14)	129541393152132851	0 8 42 68 162 192 236 402 446 476 570 596 630 638	45771036810
SPT(14)	129541404365208217	0 6 16 30 42 46 72 100 126 130 142 156 166 172	56984112176
SPT(14)	129541406142747191	0 36 48 90 92 98 132 266 300 306 308 350 362 398	58761651150
SPT(20)	129541409460546089	0 42 48 90 102 152 158 168 180 314 348 482 494 504 510 560 572 614 620 662	62079450048