Prime p₀= 495676405481615441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 94 2 10 2 46 2 70 2 106 2 (?)
a_n: 0 2 96 98 108 110 156 158 228 230 336 338
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: 338
Found by: Aleksander Parkitny
db: batch=70, k=12, 94 10 46 70 106

SPT(14)	495676297552912381	0 22 36 42 58 66 78 100 112 120 136 142 156 178	-107928703060
SPT(14)	495676309359515533	0 18 40 58 60 96 118 138 160 196 198 216 238 256	-96122099908
SPT(14)	495676362935626633	0 36 46 78 96 120 148 228 256 280 298 330 340 376	-42545988808
SPT(14)	495676369902149911	0 18 88 90 96 102 118 150 166 172 178 180 250 268	-35579465530
SPT(14)	495676391056330987	0 34 42 46 60 72 94 132 154 166 180 184 192 226	-14425284454
TPT(12)	495676400778823169	0 2 48 50 78 80 90 92 120 122 138 140	-4702792272
SPT(14)	495676413943749151	0 66 126 166 172 178 208 210 240 246 252 292 352 418	8462133710
TPT(12)	495676428098439611	0 2 48 50 126 128 156 158 210 212 216 218	22616824170
SPT(14)	495676431103428503	0 18 24 74 108 120 134 174 188 200 234 284 290 308	25621813062
SPT(14)	495676434154548001	0 42 46 66 70 102 112 150 160 192 196 216 220 262	28672932560
SPT(20)	495676442388327661	0 6 42 58 66 76 108 132 136 142 186 192 196 220 252 262 270 286 322 328	36906712220