The generator matrix

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

generates a code of length 90 over F4[X]/(X^2) who´s minimum homogenous weight is 254.

Homogenous weight enumerator: w(x)=1x^0+120x^254+228x^255+441x^256+252x^258+600x^259+906x^260+324x^262+876x^263+1134x^264+504x^266+1068x^267+1146x^268+600x^270+1080x^271+1341x^272+540x^274+1104x^275+1029x^276+420x^278+780x^279+702x^280+240x^282+300x^283+303x^284+72x^286+108x^287+54x^288+33x^292+18x^296+21x^300+15x^304+3x^308+6x^312+3x^316+9x^324+3x^332

The gray image is a linear code over GF(4) with n=360, k=7 and d=254.
This code was found by Heurico 1.16 in 4.23 seconds.