The generator matrix

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

generates a code of length 37 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+156x^104+708x^105+345x^108+1116x^109+243x^112+492x^113+144x^116+516x^117+120x^120+240x^121+15x^124

The gray image is a linear code over GF(4) with n=148, k=6 and d=104.
This code was found by Heurico 1.16 in 0.047 seconds.