The generator matrix

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

generates a code of length 46 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+420x^131+204x^132+288x^133+168x^134+828x^135+150x^136+204x^137+120x^138+420x^139+114x^140+108x^141+48x^142+276x^143+81x^144+132x^145+24x^146+264x^147+84x^148+36x^149+24x^150+96x^151+6x^156

The gray image is a linear code over GF(4) with n=184, k=6 and d=131.
This code was found by Heurico 1.16 in 0.157 seconds.