The generator matrix

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

generates a code of length 48 over F4[X]/(X^2) who´s minimum homogenous weight is 140.

Homogenous weight enumerator: w(x)=1x^0+96x^140+336x^141+60x^144+360x^145+90x^148+72x^153+6x^156+3x^176

The gray image is a linear code over GF(4) with n=192, k=5 and d=140.
This code was found by Heurico 1.16 in 0.015 seconds.