The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  1  1 2a  1  1  1  1  1  1  1  1  1  0 2a+2 2a+2 2a  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 2a  1  1  1  1  0  0  1
 0  1  0  0  2  1  3  1  a 3a+3 3a 2a  0 2a+3  1  1 3a+1 3a+2 a+1 a+3 a+2 a+2  0  a 3a+3  1  1  1  1 a+3 a+1 2a  a 2a+2 3a+2 a+3 2a+2 2a+3 3a+2  1 2a+1 3a+1 3a+2 a+3 2a+1 2a+3  1 2a+1 a+1 3a+1  a  1 2a 2a+3
 0  0  1  0 2a+3  1 2a+2 2a+3 3a+2  a 2a+2 a+1 2a 3a+1 2a+1 3a+1 2a 3a+3 3a 3a+3  0 2a 2a+3  3  3 a+2  2 a+3  3  0 a+3 a+2 2a+3 3a+2  3 2a  2 3a+2 3a a+1  0 a+1 a+3 2a+3 3a  2 a+2  2  a 3a+1 3a 2a+3  1 2a
 0  0  0  1 3a+3  2 3a+1 3a+1 2a+2 2a+1 a+1 3a+3  1 3a+1 2a+3 3a+1  2  0 a+3  2  1 3a+2 2a+1  0 a+3 a+2  1 2a+3  1 3a 3a+3 2a+2 2a+3 2a+3 3a+2 2a+1 a+3 a+1 2a+3 3a  3  3 a+2  0 2a+1 2a 2a+2  a  2 a+1 3a+3  2  a 2a+1

generates a code of length 54 over GR(16,4) who´s minimum homogenous weight is 147.

Homogenous weight enumerator: w(x)=1x^0+240x^147+609x^148+444x^149+852x^150+1452x^151+1839x^152+1488x^153+1848x^154+2688x^155+3270x^156+2076x^157+2484x^158+3540x^159+4335x^160+2652x^161+2952x^162+4188x^163+4977x^164+2880x^165+3228x^166+3648x^167+3807x^168+1764x^169+1896x^170+2100x^171+1914x^172+888x^173+540x^174+528x^175+234x^176+96x^177+24x^178+48x^179+3x^180+3x^196

The gray image is a code over GF(4) with n=216, k=8 and d=147.
This code was found by Heurico 1.16 in 14.6 seconds.