Prime p₀= 14867588810763959 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 4 2 28 2 82 2 4 2 (?)
a_n: 0 2 12 14 18 20 48 50 132 134 138 140
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: 140
Found by: Egon olsen
db: batch=62, k=12, 10 4 28 82 4

SPT(14)	14867552955804701	0 6 12 36 42 62 78 80 96 116 122 146 152 158	-35854959258
SPT(14)	14867554941790763	0 24 66 80 146 174 186 248 260 288 354 368 410 434	-33868973196
SPT(14)	14867565361080997	0 22 60 66 70 94 112 144 162 186 190 196 234 256	-23449682962
SPT(14)	14867573455261759	0 40 70 100 130 144 162 172 190 204 234 264 294 334	-15355502200
SPT(14)	14867581552424351	0 36 86 92 128 132 170 258 296 300 336 342 392 428	-7258339608
SPT(14)	14867588203692563	0 6 14 30 48 80 108 146 174 206 224 240 248 254	-607071396
SPT(14)	14867592838956173	0 50 56 60 78 98 116 180 198 218 236 240 246 296	4028192214
TPT(12)	14867596291237187	0 2 12 14 24 26 120 122 180 182 192 194	7480473228
SPT(14)	14867602859268139	0 4 30 40 54 88 94 114 120 154 168 178 204 208	14048504180
SPT(14)	14867610064490419	0 40 70 88 90 112 130 132 150 172 174 192 222 262	21253726460
TPT(12)	14867615647492877	0 2 12 14 24 26 150 152 222 224 234 236	26836728918