The generator matrix

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

generates a code of length 59 over F4[X]/(X^2) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+288x^158+828x^159+660x^160+1140x^161+1764x^162+3576x^163+2190x^164+3024x^165+4548x^166+7560x^167+4500x^168+6324x^169+8172x^170+12636x^171+7350x^172+9648x^173+13128x^174+18684x^175+10440x^176+12528x^177+16524x^178+22152x^179+10836x^180+12432x^181+13956x^182+16608x^183+7638x^184+7428x^185+7044x^186+8124x^187+2931x^188+2448x^189+1968x^190+1824x^191+453x^192+324x^193+192x^194+168x^195+42x^196+21x^200+21x^204+12x^208+6x^212+3x^216

The gray image is a linear code over GF(4) with n=236, k=9 and d=158.
This code was found by Heurico 1.16 in 221 seconds.