The generator matrix

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

generates a code of length 47 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+261x^128+420x^129+486x^132+1260x^133+645x^136+2508x^137+825x^140+3288x^141+948x^144+3420x^145+627x^148+1308x^149+162x^152+84x^153+51x^156+36x^160+15x^164+21x^168+12x^172+6x^176

The gray image is a linear code over GF(4) with n=188, k=7 and d=128.
This code was found by Heurico 1.16 in 86.3 seconds.