Prime p₀= 156317492978168297 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 58 2 40 2 28 2 76 2 (?)
a_n: 0 2 12 14 72 74 114 116 144 146 222 224
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: 224
Found by: amazing
db: batch=67, k=12, 10 58 40 28 76

SPT(14)	156317413636174937	0 26 60 72 104 152 156 170 174 222 254 266 300 326	-79341993360
TPT(14)	156317419411833959	0 2 42 44 102 104 108 110 180 182 312 314 318 320	-73566334338
SPT(14)	156317458176681983	0 26 68 90 98 126 128 156 158 186 194 216 258 284	-34801486314
SPT(16)	156317468084271607	0 10 12 16 36 54 60 72 94 106 112 130 150 154 156 166	-24893896690
SPT(14)	156317490775181249	0 2 8 38 90 108 128 132 152 170 222 252 258 260	-2202987048
TPT(12)	156317491554662699	0 2 48 50 120 122 132 134 228 230 312 314	-1423505598
SPT(14)	156317493385108079	0 8 12 30 38 44 50 72 78 84 92 110 114 122	406939782
SPT(14)	156317494189384601	0 12 38 62 72 78 108 152 182 188 198 222 248 260	1211216304
TPT(12)	156317497725985247	0 2 12 14 42 44 84 86 114 116 150 152	4747816950
SPT(14)	156317497976748181	0 28 40 72 82 112 118 120 126 156 166 198 210 238	4998579884
SPT(14)	156317501863666379	0 8 14 42 74 110 120 122 132 168 200 228 234 242	8885498082