The generator matrix

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

generates a code of length 36 over F4[X]/(X^2) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+540x^98+408x^99+306x^100+264x^101+1284x^102+996x^103+594x^104+384x^105+1992x^106+1248x^107+756x^108+432x^109+1992x^110+1080x^111+648x^112+384x^113+1404x^114+744x^115+216x^116+72x^117+468x^118+132x^119+18x^120+12x^124+3x^128+6x^132

The gray image is a linear code over GF(4) with n=144, k=7 and d=98.
This code was found by Heurico 1.16 in 60 seconds.