The generator matrix

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

generates a code of length 46 over F4[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+192x^129+372x^130+75x^132+384x^133+504x^134+99x^136+228x^137+552x^138+27x^140+372x^141+528x^142+3x^144+300x^145+324x^146+30x^148+60x^149+24x^150+9x^152+9x^156+3x^180

The gray image is a linear code over GF(4) with n=184, k=6 and d=129.
This code was found by Heurico 1.16 in 2.26 seconds.