Prime p₀= 540535909170704597 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 148 2 28 2 (?)
a_n: 0 2 12 14 42 44 54 56 204 206 234 236
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: 236
Found by: phoenicis
db: batch=56, k=12, 10 28 10 148 28

SPT(16)	540535812583656847	0 24 52 70 72 114 166 180 196 210 262 304 306 324 352 376	-96587047750
SPT(14)	540535818913656541	0 6 40 52 70 120 136 276 292 342 360 372 406 412	-90257048056
TPT(12)	540535837373160509	0 2 12 14 18 20 60 62 138 140 150 152	-71797544088
TPT(12)	540535861755341141	0 2 30 32 96 98 156 158 180 182 186 188	-47415363456
TPT(12)	540535876584033221	0 2 6 8 48 50 78 80 90 92 138 140	-32586671376
SPT(14)	540535894107083359	0 24 78 90 94 102 112 150 160 168 172 184 238 262	-15063621238
TPT(12)	540535933328760767	0 2 72 74 114 116 264 266 312 314 324 326	24158056170
SPT(14)	540535943912891737	0 16 24 90 100 114 136 150 172 186 196 262 270 286	34742187140
SPT(14)	540535949625161549	0 42 80 92 108 168 182 198 212 272 288 300 338 380	40454456952
SPT(14)	540535950787045571	0 2 42 56 102 116 152 210 246 260 306 320 360 362	41616340974
SPT(14)	540535959069013837	0 4 10 30 42 52 76 150 174 184 196 216 222 226	49898309240