The generator matrix

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

generates a code of length 36 over F4[X]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+756x^102+558x^104+828x^106+468x^108+324x^110+189x^112+564x^114+180x^116+216x^118+12x^120

The gray image is a linear code over GF(4) with n=144, k=6 and d=102.
This code was found by Heurico 1.16 in 108 seconds.