The generator matrix

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

generates a code of length 36 over F4[X]/(X^2) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+384x^95+576x^96+648x^97+1044x^98+2184x^99+1626x^100+1620x^101+1860x^102+4128x^103+2910x^104+3036x^105+3588x^106+5604x^107+3867x^108+4500x^109+4260x^110+6612x^111+4005x^112+3276x^113+2616x^114+3588x^115+1692x^116+744x^117+456x^118+540x^119+156x^120+15x^124

The gray image is a linear code over GF(4) with n=144, k=8 and d=95.
This code was found by Heurico 1.16 in 8.95 seconds.