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+1)X+a+1  0 (a+1)X+1  a  X (a+1)X+a+1  1 (a+1)X+1 X+a aX+a+1  1  X  1 X+a aX+a+1  1  0  X (a+1)X+1 aX+1 aX+1 aX aX aX+1  a X+a aX+a aX+a (a+1)X+a+1 aX+a+1 X+a+1 X+a+1 aX  1 aX+a X+a+1 (a+1)X+a+1  X aX X+1  X  a
 0  0 (a+1)X  X aX  X  0 (a+1)X aX (a+1)X (a+1)X  X aX  0 aX (a+1)X aX  0  X  X aX  X aX (a+1)X  X  0 (a+1)X  0  0 (a+1)X  X aX  0 (a+1)X  X aX  X  X  0  0  X  0 aX aX (a+1)X aX

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

Homogenous weight enumerator: w(x)=1x^0+132x^133+60x^134+120x^135+27x^136+252x^137+96x^138+27x^140+144x^141+24x^142+72x^143+12x^145+6x^148+36x^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 0.14 seconds.