The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  1  1  0  1  1  X  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1 aX  1
 0  1  1  a (a+1)X+a+1  0 (a+1)X+1  a (a+1)X+a+1  1  0  a (a+1)X+1  1 (a+1)X+a+1 X+a  1  X (a+1)X+1 aX+a+1 X+a (a+1)X+a  X  1 aX  1 aX+1  0 aX X+a  a X+1 aX X+a (a+1)X+1  1 a+1
 0  0 (a+1)X  0  X  X (a+1)X  X (a+1)X  X  0  0  X  X  0 (a+1)X aX aX  0 (a+1)X aX (a+1)X (a+1)X aX aX aX  X  X  X aX aX aX  0 (a+1)X  X aX  0
 0  0  0  X aX  X aX (a+1)X (a+1)X  0  X (a+1)X  0 aX aX (a+1)X  0  X  0 aX (a+1)X  X  X  0  0 aX (a+1)X aX  0 aX  X (a+1)X aX  0  X (a+1)X (a+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+816x^104+876x^108+1227x^112+900x^116+255x^120+12x^128+9x^136

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 7.57 seconds.