Prime p₀= 128270406434197121 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 28 2 10 2 196 2 (?)
a_n: 0 2 6 8 48 50 78 80 90 92 288 290
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: 290
Found by: amazing
db: batch=67, k=12, 4 40 28 10 196

SPT(14)	128270356767501673	0 4 18 76 96 138 160 174 196 238 258 316 330 334	-49666695448
SPT(14)	128270383747058011	0 12 30 72 82 90 132 238 280 288 298 340 358 370	-22687139110
SPT(14)	128270383941055117	0 6 10 42 66 72 76 90 94 100 124 156 160 166	-22493142004
SPT(14)	128270390291918881	0 40 58 88 90 102 112 198 208 220 222 252 270 310	-16142278240
TPT(12)	128270395649686061	0 2 36 38 48 50 168 170 186 188 258 260	-10784511060
SPT(14)	128270404473260657	0 2 26 44 54 56 110 126 180 182 192 210 234 236	-1960936464
TPT(12)	128270439456800609	0 2 42 44 90 92 150 152 192 194 222 224	33022603488
TPT(12)	128270453313584837	0 2 12 14 54 56 162 164 204 206 384 386	46879387716
SPT(14)	128270471217101527	0 34 52 94 112 150 160 174 184 222 240 282 300 334	64782904406
SPT(14)	128270501503599187	0 24 40 42 82 144 150 154 160 222 262 264 280 304	95069402066
TPT(12)	128270510523833147	0 2 72 74 84 86 150 152 222 224 240 242	104089636026