The generator matrix

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

generates a code of length 95 over F4[X]/(X^2) who´s minimum homogenous weight is 263.

Homogenous weight enumerator: w(x)=1x^0+348x^263+651x^264+1044x^265+984x^266+1944x^267+2148x^268+3120x^269+2112x^270+4248x^271+4620x^272+5904x^273+4332x^274+6816x^275+7044x^276+8268x^277+5844x^278+9924x^279+9279x^280+10632x^281+7752x^282+12252x^283+10866x^284+12912x^285+9708x^286+13284x^287+11364x^288+13164x^289+8676x^290+12060x^291+9783x^292+10080x^293+5676x^294+7800x^295+5886x^296+5868x^297+2952x^298+3612x^299+2877x^300+2112x^301+948x^302+1236x^303+846x^304+540x^305+168x^306+180x^307+99x^308+84x^309+24x^311+33x^312+9x^316+18x^320+6x^324+3x^336+3x^344

The gray image is a linear code over GF(4) with n=380, k=9 and d=263.
This code was found by Heurico 1.16 in 427 seconds.