Prime p₀= 234906326144161349 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 4 2 10 2 28 2 10 2 (?)
a_n: 0 2 12 14 18 20 30 32 60 62 72 74
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: 74
Found by: Megacruncher
db: batch=69, k=12, 10 4 10 28 10

TPT(12)	234906267426248021	0 2 30 32 36 38 48 50 60 62 126 128	-58717913328
TPT(12)	234906269554059281	0 2 6 8 36 38 66 68 78 80 90 92	-56590102068
TPT(12)	234906284168650307	0 2 54 56 120 122 174 176 204 206 264 266	-41975511042
SPT(14)	234906284840144101	0 18 28 60 72 78 120 178 220 226 238 270 280 298	-41304017248
SPT(14)	234906286213612021	0 16 28 40 82 108 112 126 130 156 198 210 222 238	-39930549328
SPT(14)	234906306165089807	0 20 42 44 110 140 164 240 264 294 360 362 384 404	-19979071542
TPT(12)	234906336315140417	0 2 30 32 90 92 114 116 144 146 174 176	10170979068
TPT(14)	234906346150124501	0 2 30 32 186 188 210 212 240 242 270 272 360 362	20005963152
SPT(14)	234906360417855767	0 12 20 44 56 110 120 146 156 210 222 246 254 266	34273694418
SPT(16)	234906368636291749	0 4 22 24 28 34 60 82 90 112 138 144 148 150 168 172	42492130400
SPT(14)	234906379380627569	0 2 18 24 44 68 72 110 114 138 158 164 180 182	53236466220