GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Generators: x y z; Limiting weight: 26; Relations: [[x,y],x] - 2 x; [[x,y],y] + 2 y; [y,z]; [[x,y],z] + 4 z; [x,[x,[x,[x,[x,z]]]]]; 3 [[x,z],[x,[x,z]]] - 2 [z,[x,[x,[x,z]]]] - 504 y; [z,[z,[x,z]]]; 4 [[x,[x,[x,z]]],[z,[x,z]]] - 3 [[x,[x,z]],[z,[x,[x,z]]]] - 9216 z; [[x,z],[[x,z],[[x,z],z]]];