The generator matrix

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

generates a code of length 58 over F4[X]/(X^2) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+384x^155+663x^156+384x^157+888x^158+2400x^159+3045x^160+1668x^161+3132x^162+6408x^163+6870x^164+3288x^165+5796x^166+10092x^167+11853x^168+5868x^169+10068x^170+16668x^171+17559x^172+8472x^173+13092x^174+19692x^175+19647x^176+8988x^177+12660x^178+17904x^179+15261x^180+5736x^181+7260x^182+9492x^183+7365x^184+2100x^185+2172x^186+2700x^187+1497x^188+360x^189+228x^190+276x^191+138x^192+39x^196+12x^200+15x^204+3x^208

The gray image is a linear code over GF(4) with n=232, k=9 and d=155.
This code was found by Heurico 1.16 in 212 seconds.