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

generates a code of length 94 over F4[X]/(X^2) who´s minimum homogenous weight is 264.

Homogenous weight enumerator: w(x)=1x^0+354x^264+588x^265+372x^266+372x^267+1929x^268+1164x^269+1116x^270+540x^271+3141x^272+2244x^273+1836x^274+864x^275+4281x^276+2712x^277+1836x^278+900x^279+4692x^280+3216x^281+2280x^282+1140x^283+5070x^284+3324x^285+1680x^286+1056x^287+4035x^288+2412x^289+1620x^290+792x^291+2799x^292+1824x^293+876x^294+372x^295+1635x^296+732x^297+588x^298+96x^299+546x^300+192x^301+60x^302+12x^303+108x^304+24x^305+24x^306+36x^308+9x^312+9x^316+3x^320+12x^324+6x^328+6x^332

The gray image is a linear code over GF(4) with n=376, k=8 and d=264.
This code was found by Heurico 1.16 in 29.4 seconds.