The generator matrix

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

generates a code of length 48 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+51x^128+48x^130+84x^131+402x^132+252x^134+636x^135+837x^136+420x^138+948x^139+1398x^140+648x^142+1608x^143+1698x^144+936x^146+1836x^147+1656x^148+636x^150+924x^151+804x^152+132x^154+108x^155+177x^156+57x^160+48x^164+21x^168+15x^172+3x^176

The gray image is a linear code over GF(4) with n=192, k=7 and d=128.
This code was found by Heurico 1.16 in 1.02 seconds.