The generator matrix

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

generates a code of length 92 over F4[X]/(X^2) who´s minimum homogenous weight is 254.

Homogenous weight enumerator: w(x)=1x^0+324x^254+492x^255+549x^256+1200x^257+2208x^258+2160x^259+2016x^260+2928x^261+5268x^262+4092x^263+3618x^264+5328x^265+8268x^266+6396x^267+5307x^268+7452x^269+12204x^270+8400x^271+7299x^272+10212x^273+15480x^274+11004x^275+8703x^276+10812x^277+17916x^278+10776x^279+7674x^280+10620x^281+15096x^282+9348x^283+6498x^284+7668x^285+9888x^286+5472x^287+3495x^288+3660x^289+4344x^290+2580x^291+1473x^292+1284x^293+1056x^294+612x^295+390x^296+276x^297+108x^298+96x^299+24x^300+12x^303+15x^304+18x^308+9x^312+6x^316+3x^320+3x^328+3x^332

The gray image is a linear code over GF(4) with n=368, k=9 and d=254.
This code was found by Heurico 1.16 in 420 seconds.