Prime p₀= 14867596291237187 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 94 2 58 2 10 2 (?)
a_n: 0 2 12 14 24 26 120 122 180 182 192 194
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: 194
Found by: Egon olsen
db: batch=62, k=12, 10 10 94 58 10

SPT(14)	14867565361080997	0 22 60 66 70 94 112 144 162 186 190 196 234 256	-30930156190
SPT(14)	14867573455261759	0 40 70 100 130 144 162 172 190 204 234 264 294 334	-22835975428
SPT(14)	14867581552424351	0 36 86 92 128 132 170 258 296 300 336 342 392 428	-14738812836
SPT(14)	14867588203692563	0 6 14 30 48 80 108 146 174 206 224 240 248 254	-8087544624
TPT(12)	14867588810763959	0 2 12 14 18 20 48 50 132 134 138 140	-7480473228
SPT(14)	14867592838956173	0 50 56 60 78 98 116 180 198 218 236 240 246 296	-3452281014
SPT(14)	14867602859268139	0 4 30 40 54 88 94 114 120 154 168 178 204 208	6568030952
SPT(14)	14867610064490419	0 40 70 88 90 112 130 132 150 172 174 192 222 262	13773253232
TPT(12)	14867615647492877	0 2 12 14 24 26 150 152 222 224 234 236	19356255690
SPT(16)	14867618253735493	0 10 70 78 88 100 108 120 136 148 156 168 178 186 246 256	21962498306
TPT(12)	14867620337979917	0 2 102 104 132 134 180 182 252 254 300 302	24046742730