Prime p₀= 156317497725985247 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 40 2 28 2 34 2 (?)
a_n: 0 2 12 14 42 44 84 86 114 116 150 152
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: 152
Found by: amazing
db: batch=67, k=12, 10 28 40 28 34

SPT(16)	156317468084271607	0 10 12 16 36 54 60 72 94 106 112 130 150 154 156 166	-29641713640
SPT(14)	156317490775181249	0 2 8 38 90 108 128 132 152 170 222 252 258 260	-6950803998
TPT(12)	156317491554662699	0 2 48 50 120 122 132 134 228 230 312 314	-6171322548
TPT(12)	156317492978168297	0 2 12 14 72 74 114 116 144 146 222 224	-4747816950
SPT(14)	156317493385108079	0 8 12 30 38 44 50 72 78 84 92 110 114 122	-4340877168
SPT(14)	156317494189384601	0 12 38 62 72 78 108 152 182 188 198 222 248 260	-3536600646
SPT(14)	156317497976748181	0 28 40 72 82 112 118 120 126 156 166 198 210 238	250762934
SPT(14)	156317501863666379	0 8 14 42 74 110 120 122 132 168 200 228 234 242	4137681132
SPT(14)	156317509578213443	0 6 14 20 38 50 104 120 174 186 204 210 218 224	11852228196
SPT(14)	156317518734497843	0 50 86 126 128 156 158 396 398 426 428 468 504 554	21008512596
SPT(14)	156317524094595103	0 6 34 58 78 84 88 186 190 196 216 240 268 274	26368609856