The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  X  1  1 a*X  1  1 a*X  1  1  1  1  1  1  X  1  1  1  1  X  1 a*X  1  1  1  1  X  1  1  1  0  0  1  1 a^2*X  1  1  1  1 a*X  1  1  1  1  1
 0  1  0  0  X a^2*X  1 a^2*X+a a^2  1 a^2*X+1 a^2*X+a^2 a^2*X+1  a  1 a^2*X+a^2 a^2  1 a^2*X+a a*X+a  1 X+a^2  0  1 a^2*X X+1 X+1  1 a*X a*X+1 X+a  a  X  X  1 a*X  X a*X+a^2 a^2*X+1  1 a^2*X+a^2 a*X+a^2 a*X  1  0 X+a a*X+1  1 X+a a^2*X a*X a*X+a  1  a a^2 a^2*X+a^2 a*X X+1
 0  0  1  1 a^2*X+a a^2 X+1 a^2*X+1 a*X+1 a^2  a  a  0 a^2*X+a a*X+a^2  X a*X+a^2 X+1  X X+a^2  a a^2*X+1 a^2*X+a a*X+1 a*X+a^2 a^2*X a*X+a X+a^2  1  a  1 a*X+a^2  1 a^2  a  1 a^2*X+a^2  0 a^2*X+a^2 a*X  X X+a a*X+a a^2  1 X+1 a*X+a a^2*X a*X+a^2 a*X a*X+1 a*X a^2 a^2*X+1  X a*X+a^2 a*X+1  1
 0  0  0 a^2*X  0  0 a^2*X a^2*X a^2*X  X  X a^2*X a*X a^2*X a*X  0  X  0  X  X  X  0 a*X  0 a^2*X  X a^2*X a^2*X a*X a*X  X  0 a*X a*X  0  0  X a*X a*X a^2*X a^2*X  X  X  X a^2*X  0 a^2*X a*X a*X a*X  X a*X  0  0  X a^2*X a^2*X a*X

generates a code of length 58 over F4[X]/(X^2) who´s minimum homogenous weight is 163.

Homogenous weight enumerator: w(x)=1x^0+816x^163+381x^164+2424x^167+867x^168+2544x^171+936x^172+2340x^175+774x^176+2184x^179+627x^180+1464x^183+375x^184+408x^187+114x^188+108x^191+15x^192+6x^196

The gray image is a linear code over GF(4) with n=232, k=7 and d=163.
This code was found by Heurico 1.16 in 1.25 seconds.