Prime p₀= 316746403064557727 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 10 2 46 2 (?)
a_n: 0 2 30 32 60 62 72 74 84 86 132 134
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: 134
Found by: marsinph
db: batch=70, k=12, 28 28 10 10 46

TPT(12)	316746333748856771	0 2 90 92 126 128 168 170 198 200 210 212	-69315700956
SPT(14)	316746364037937109	0 28 34 64 70 90 94 108 112 132 138 168 174 202	-39026620618
TPT(12)	316746366874464179	0 2 42 44 48 50 120 122 132 134 162 164	-36190093548
TPT(12)	316746372099763469	0 2 42 44 90 92 120 122 132 134 138 140	-30964794258
SPT(14)	316746386005267291	0 16 36 78 108 118 160 198 240 250 280 322 342 358	-17059290436
SPT(16)	316746398813681671	0 16 28 30 72 108 118 126 142 150 160 196 238 240 252 268	-4250876056
SPT(14)	316746424095582599	0 30 32 74 104 114 132 182 200 210 240 282 284 314	21031024872
SPT(14)	316746433201543381	0 58 60 70 72 112 138 142 168 208 210 220 222 280	30136985654
SPT(14)	316746448864619261	0 12 26 50 66 68 78 80 90 92 108 132 146 158	45800061534
TPT(12)	316746460511998217	0 2 72 74 114 116 120 122 162 164 180 182	57447440490
SPT(14)	316746462184473901	0 6 30 40 88 126 130 138 142 180 228 238 262 268	59119916174