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

generates a code of length 47 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+564x^134+507x^136+876x^138+372x^140+444x^142+258x^144+372x^146+180x^148+336x^150+87x^152+96x^154+3x^160

The gray image is a linear code over GF(4) with n=188, k=6 and d=134.
This code was found by Heurico 1.16 in 0.297 seconds.