The generator matrix

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

generates a code of length 36 over F4[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+432x^92+708x^93+660x^94+1164x^95+3198x^96+3576x^97+3024x^98+3492x^99+7557x^100+8280x^101+7476x^102+8040x^103+16320x^104+16524x^105+14544x^106+13944x^107+24273x^108+22212x^109+17676x^110+14988x^111+22710x^112+16992x^113+10272x^114+6756x^115+8523x^116+5088x^117+1644x^118+768x^119+867x^120+348x^121+42x^124+21x^128+18x^132+3x^136+3x^140

The gray image is a linear code over GF(4) with n=144, k=9 and d=92.
This code was found by Heurico 1.16 in 116 seconds.