Prime p₀= 262724485174378949 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 58 2 52 2 58 2 148 2 (?)
a_n: 0 2 78 80 138 140 192 194 252 254 402 404
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: 404
Found by: davidBAM
db: batch=69, k=12, 76 58 52 58 148

SPT(14)	262724392551743807	0 2 20 42 44 62 72 164 174 192 194 216 234 236	-92622635142
TPT(12)	262724414691445631	0 2 78 80 138 140 150 152 156 158 210 212	-70482933318
TPT(12)	262724424072092777	0 2 12 14 42 44 84 86 90 92 132 134	-61102286172
SPT(14)	262724443416472469	0 18 32 48 92 104 120 122 138 150 194 210 224 242	-41757906480
SPT(14)	262724450939877259	0 40 42 48 58 82 84 88 90 114 124 130 132 172	-34234501690
SPT(16)	262724477870248321	0 36 118 120 166 186 210 246 250 286 310 330 376 378 460 496	-7304130628
SPT(14)	262724520514752143	0 38 56 66 68 78 86 150 158 168 170 180 198 236	35340373194
SPT(16)	262724521312743359	0 20 42 48 62 90 108 162 188 242 260 288 302 308 330 350	36138364410
SPT(14)	262724524010355581	0 38 80 96 188 206 210 236 240 258 350 366 408 446	38835976632
SPT(14)	262724531760468571	0 16 40 82 120 132 166 192 226 238 276 318 342 358	46586089622
SPT(16)	262724537445981263	0 8 20 38 48 80 86 90 116 120 126 158 168 186 198 206	52271602314