The generator matrix

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

generates a code of length 46 over F4[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+156x^133+60x^134+120x^135+27x^136+216x^137+96x^138+27x^140+156x^141+24x^142+72x^143+6x^148+48x^149+12x^150+3x^164

The gray image is a linear code over GF(4) with n=184, k=5 and d=133.
This code was found by Heurico 1.16 in 0.062 seconds.