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  0  1  1  1 a*X  X  1  1  1  1  1  1  1  1 a*X  1 a^2*X  1  1  1  1  0  X  1  1
 0  1  1  a a^2  0 a^2*X+1 a^2*X+a^2  a  1  0 a^2*X+1  a  1 a^2*X+a^2 X+a  1 a^2*X+1  0 a^2*X+a^2 a^2*X+a^2  a  X  1 a^2*X+1  X a*X+a  1  1 a*X+1 a*X+a^2 a*X+a  a a*X+1 a^2*X+1  0 a*X  1 a^2*X+a  1 a*X X+1 a^2*X+1  X  X  1  a  0
 0  0 a^2*X  0  0  0  X  X  X  X  X  X a^2*X a^2*X a*X a^2*X a^2*X  0 a^2*X a*X a^2*X  0  X a^2*X  0 a*X  X  X a*X a*X  0  0 a*X  X a*X  0  0 a*X  0  X  0 a*X a^2*X  0  X a*X a*X  0
 0  0  0  X  0  X a^2*X  0  X a^2*X  X  0 a*X a^2*X  0  0  X a*X  X  0 a^2*X  X a*X a^2*X  0  X a*X  X a^2*X  X a*X  X  X  0 a*X  0 a^2*X  0 a^2*X a^2*X a*X  X  0  X a^2*X a^2*X a*X  0
 0  0  0  0 a^2*X a^2*X  X a^2*X a*X  0 a^2*X  X  X a*X  X  X  X  0  0 a*X  0 a*X a^2*X a^2*X a*X a^2*X  X a*X a*X a*X a^2*X a^2*X  0 a*X a*X a*X  0 a^2*X a*X a^2*X  X  X  X  X a^2*X  0  0 a^2*X

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

Homogenous weight enumerator: w(x)=1x^0+72x^128+336x^131+351x^132+1092x^135+405x^136+2076x^139+693x^140+3096x^143+1062x^144+3384x^147+771x^148+1956x^151+429x^152+348x^155+195x^156+21x^160+33x^164+36x^168+18x^172+6x^176+3x^180

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 seconds.