Prime p₀= 390592825481046299 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 64 2 40 2 10 2 4 2 (?)
a_n: 0 2 72 74 138 140 180 182 192 194 198 200
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: 200
Found by: desktop64
db: batch=70, k=12, 70 64 40 10 4

TPT(12)	390592717822795667	0 2 54 56 90 92 114 116 174 176 210 212	-107658250632
SPT(16)	390592727839568207	0 2 6 32 56 66 72 92 114 134 140 150 174 200 204 206	-97641478092
SPT(14)	390592793636933999	0 14 38 72 158 182 192 200 210 234 320 354 378 392	-31844112300
SPT(14)	390592810522110407	0 12 14 26 50 54 56 120 122 126 150 162 164 176	-14958935892
SPT(14)	390592810543307311	0 10 36 76 78 148 156 232 240 310 312 352 378 388	-14937738988
SPT(13)	390592822719996229	0 12 42 48 60 78 90 102 120 132 138 168 180	-2761050070
SPT(14)	390592834521231607	0 30 46 52 66 90 100 126 136 160 174 180 196 226	9040185308
SPT(14)	390592843760853059	0 32 60 102 132 140 174 188 222 230 260 302 330 362	18279806760
SPT(14)	390592869502322899	0 10 18 24 34 70 130 198 258 294 304 310 318 328	44021276600
TPT(12)	390592876938901751	0 2 78 80 90 92 156 158 186 188 270 272	51457855452
SPT(14)	390592877072652517	0 30 40 46 72 84 96 190 202 214 240 246 256 286	51591606218