The generator matrix

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

generates a code of length 46 over F4[X]/(X^2) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+1302x^128+3276x^132+3786x^136+3480x^140+3168x^144+1212x^148+150x^152+9x^160

The gray image is a linear code over GF(4) with n=184, k=7 and d=128.
This code was found by Heurico 1.16 in 0.875 seconds.