Prime p₀= 57418161754182641 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 28 2 58 2 160 2 28 2 (?)
a_n: 0 2 66 68 96 98 156 158 318 320 348 350
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: 350
Found by: MarkRBright
db: batch=67, k=12, 64 28 58 160 28

STPT(10)	57418109786338307	0 2 30 32 42 44 54 56 84 86	-51967844334
TPT(12)	57418121343462989	0 2 30 32 42 44 48 50 72 74 90 92	-40410719652
TPT(12)	57418126360222049	0 2 30 32 42 44 90 92 162 164 168 170	-35393960592
SPT(14)	57418143015836389	0 10 24 70 90 120 132 142 154 184 204 250 264 274	-18738346252
SPT(14)	57418147859717401	0 18 40 58 60 78 100 108 130 148 150 168 190 208	-13894465240
SPT(16)	57418152567462931	0 10 46 48 52 82 100 118 150 168 186 216 220 222 258 268	-9186719710
SPT(14)	57418182037237691	0 18 42 60 158 180 218 270 308 330 428 446 470 488	20283055050
TPT(12)	57418191055012769	0 2 18 20 42 44 48 50 90 92 120 122	29300830128
SPT(14)	57418206266270389	0 40 88 108 172 178 190 312 324 330 394 414 462 502	44512087748
TPT(12)	57418206339065807	0 2 42 44 54 56 72 74 102 104 144 146	44584883166
SPT(14)	57418210838378701	0 22 58 70 72 78 82 156 160 166 168 180 216 238	49084196060