The generator matrix

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

generates a code of length 48 over F4[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+432x^133+276x^134+504x^135+159x^136+1380x^137+600x^138+1008x^139+279x^140+1764x^141+660x^142+1092x^143+180x^144+1560x^145+720x^146+1092x^147+264x^148+1416x^149+540x^150+660x^151+102x^152+900x^153+216x^154+252x^155+18x^156+228x^157+60x^158+3x^160+12x^164+3x^168+3x^172

The gray image is a linear code over GF(4) with n=192, k=7 and d=133.
This code was found by Heurico 1.16 in 0.703 seconds.