Generators: x y z;
Limiting weight: 38;
Relations:

[[x,y],x] - 2 x;
[[x,y],y] + 2 y;

[y,z];
[[x,y],z] + 6 z;
[x,[x,[x,[x,[x,[x,[x,z]]]]]]];

2 [[x,z],[x,[x,z]]] - [z,[x,[x,[x,z]]]] - 4464 z;
9 [[x,[x,z]],[x,[x,[x,z]]]] - 5 [[x,z], [x,[x,[x,[x,z]]]]] -
 13392 [x,[x,z]] - 2395008 y;
[z,[z,[x,z]]];
7 [[x,[x,[x,z]]],[z,[x,z]]] - 6 [[x,[x,z]],[z,[x,[x,z]]]] -
 23040 [z,[x,z]];
[[x,z],[[x,z],[[x,z],z]]];