Prime p₀= 337359777992764799 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 10 2 34 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 108 110 138 140
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: 140
Found by: [SG-FC] hl
db: batch=70, k=12, 28 28 10 34 28

SPT(14)	337359713266463497	0 22 30 42 64 70 82 102 114 120 142 154 162 184	-64726301302
SPT(14)	337359715346764091	0 38 56 66 116 132 150 158 176 192 242 252 270 308	-62646000708
SPT(14)	337359730572548041	0 28 30 52 72 88 96 142 150 166 186 208 210 238	-47420216758
SPT(14)	337359750386502673	0 16 18 76 180 190 214 240 264 274 378 436 438 454	-27606262126
SPT(14)	337359770255205781	0 42 52 72 90 118 156 172 210 238 256 276 286 328	-7737559018
SPT(14)	337359774411636479	0 62 72 140 164 192 200 222 230 258 282 350 360 422	-3581128320
SPT(14)	337359780276177413	0 14 54 56 60 66 80 84 98 104 108 110 150 164	2283412614
TPT(12)	337359781406745827	0 2 72 74 114 116 120 122 144 146 174 176	3413981028
SPT(14)	337359791931394871	0 6 30 48 60 86 116 132 162 188 200 218 242 248	13938630072
SPT(14)	337359797024581363	0 28 48 60 96 106 138 148 180 190 226 238 258 286	19031816564
SPT(14)	337359804542569111	0 10 28 58 88 130 156 172 198 240 270 300 318 328	26549804312