Prime p₀= 2142598472011967 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 16 2 22 2 16 2 (?)
a_n: 0 2 30 32 72 74 90 92 114 116 132 134
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: 134
Found by: stoneageman
db: batch=61, k=12, 28 40 16 22 16

SPT(14)	2142564317254831	0 40 42 46 60 72 88 150 166 178 192 196 198 238	-34154757136
TPT(12)	2142569024124257	0 2 24 26 42 44 54 56 120 122 150 152	-29447887710
SPT(14)	2142573735492581	0 2 26 72 108 138 140 198 200 230 266 312 336 338	-24736519386
TPT(12)	2142582808520171	0 2 66 68 78 80 108 110 210 212 216 218	-15663491796
SPT(14)	2142583518834041	0 2 12 20 78 86 126 182 222 230 288 296 306 308	-14953177926
SPT(14)	2142594218981429	0 68 72 104 110 122 132 170 180 192 198 230 234 302	-4253030538
SPT(14)	2142600565986919	0 10 24 52 78 82 90 112 120 124 150 178 192 202	2093974952
SPT(14)	2142613124914357	0 30 42 90 112 156 172 210 226 270 292 340 352 382	14652902390
SPT(14)	2142626048510471	0 6 56 62 108 122 128 150 156 170 216 222 272 278	27576498504
SPT(14)	2142631869053971	0 18 22 28 42 136 148 150 162 256 270 276 280 298	33397042004
SPT(14)	2142638344846327	0 6 12 16 40 42 60 82 100 102 126 130 136 142	39872834360