The generator matrix

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

generates a code of length 95 over F4[X]/(X^2) who´s minimum homogenous weight is 267.

Homogenous weight enumerator: w(x)=1x^0+276x^267+543x^268+624x^269+504x^270+1476x^271+1521x^272+1224x^273+852x^274+2160x^275+2535x^276+2148x^277+1176x^278+3168x^279+2982x^280+2424x^281+1740x^282+3624x^283+3204x^284+2436x^285+1476x^286+3804x^287+2997x^288+2724x^289+1584x^290+3120x^291+2523x^292+1884x^293+1104x^294+2232x^295+1803x^296+1296x^297+588x^298+1236x^299+861x^300+492x^301+156x^302+360x^303+318x^304+108x^305+36x^306+48x^307+90x^308+18x^312+21x^316+12x^320+12x^324+9x^328+3x^332+3x^336

The gray image is a linear code over GF(4) with n=380, k=8 and d=267.
This code was found by Heurico 1.16 in 31.9 seconds.