The generator matrix

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

generates a code of length 91 over F4[X]/(X^2) who´s minimum homogenous weight is 255.

Homogenous weight enumerator: w(x)=1x^0+324x^255+609x^256+432x^257+432x^258+1176x^259+1425x^260+1320x^261+864x^262+2448x^263+2280x^264+2028x^265+1368x^266+3060x^267+2991x^268+2568x^269+1536x^270+3756x^271+3360x^272+2700x^273+1740x^274+3588x^275+3273x^276+2664x^277+1404x^278+3528x^279+2556x^280+1908x^281+1008x^282+2076x^283+1746x^284+1224x^285+600x^286+1128x^287+843x^288+420x^289+252x^290+372x^291+219x^292+96x^293+12x^294+48x^295+81x^296+24x^300+15x^304+12x^308+15x^312+3x^316+3x^324

The gray image is a linear code over GF(4) with n=364, k=8 and d=255.
This code was found by Heurico 1.16 in 31.1 seconds.