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*X  1  0 a^2*X  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 a^2  1  1 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+a^2 a*X+a^2 a*X X+1 X+a^2 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  X a*X a*X a^2*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+288x^133+480x^134+444x^135+261x^136+1044x^137+1104x^138+804x^139+456x^140+1212x^141+1140x^142+876x^143+408x^144+1008x^145+1116x^146+972x^147+414x^148+1008x^149+1044x^150+552x^151+213x^152+636x^153+420x^154+192x^155+12x^156+180x^157+72x^158+9x^160+6x^164+12x^168

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 0.905 seconds.