Prime p₀= 128270453313584837 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 40 2 106 2 40 2 178 2 (?)
a_n: 0 2 12 14 54 56 162 164 204 206 384 386
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: 386
Found by: amazing
db: batch=67, k=12, 10 40 106 40 178

SPT(14)	128270383941055117	0 6 10 42 66 72 76 90 94 100 124 156 160 166	-69372529720
SPT(14)	128270390291918881	0 40 58 88 90 102 112 198 208 220 222 252 270 310	-63021665956
TPT(12)	128270395649686061	0 2 36 38 48 50 168 170 186 188 258 260	-57663898776
SPT(14)	128270404473260657	0 2 26 44 54 56 110 126 180 182 192 210 234 236	-48840324180
TPT(12)	128270406434197121	0 2 6 8 48 50 78 80 90 92 288 290	-46879387716
TPT(12)	128270439456800609	0 2 42 44 90 92 150 152 192 194 222 224	-13856784228
SPT(14)	128270471217101527	0 34 52 94 112 150 160 174 184 222 240 282 300 334	17903516690
SPT(14)	128270501503599187	0 24 40 42 82 144 150 154 160 222 262 264 280 304	48190014350
TPT(12)	128270510523833147	0 2 72 74 84 86 150 152 222 224 240 242	57210248310
SPT(14)	128270513189546731	0 66 70 90 100 120 132 136 148 168 178 198 202 268	59875961894
SPT(14)	128270519900999471	0 2 30 66 86 116 132 140 156 186 206 242 270 272	66587414634