Prime p₀= 1317824212070159 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 70 2 10 2 4 2 22 2 (?)
a_n: 0 2 48 50 120 122 132 134 138 140 162 164
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: 164
Found by: crashtech
db: batch=60, k=12, 46 70 10 4 22

SPT(16)	1317799536871229	0 2 18 20 48 68 84 98 144 158 174 194 222 224 240 242	-24675198930
STPT(10)	1317800909566151	0 2 6 8 48 50 90 92 96 98	-23302504008
SPT(14)	1317804874787773	0 10 16 30 40 66 100 120 154 180 190 204 210 220	-19337282386
TPT(12)	1317805502465201	0 2 36 38 78 80 96 98 126 128 180 182	-18709604958
SPT(14)	1317814665199033	0 60 70 84 106 114 124 126 136 144 166 180 190 250	-9546871126
SPT(14)	1317823995418219	0 28 34 58 64 90 102 130 142 168 174 198 204 232	-216651940
TPT(12)	1317840443228849	0 2 72 74 78 80 138 140 150 152 192 194	16231158690
SPT(14)	1317841197208279	0 22 24 28 52 64 72 100 108 120 144 148 150 172	16985138120
SPT(14)	1317843212150281	0 6 12 22 60 82 138 160 216 238 276 286 292 298	19000080122
SPT(14)	1317849555519949	0 34 102 124 130 138 144 148 154 162 168 190 258 292	25343449790
SPT(14)	1317850468954421	0 8 62 78 86 90 98 120 128 132 140 156 210 218	26256884262