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  1  1  1  1  1  1  1  0  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  1 X+a^2 a*X a*X a*X+a  1 a^2*X+a a*X+a^2 a^2*X a^2*X X+a^2
 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*X+1  X a*X+a  1 X+1 X+a a*X a^2*X  1 a*X+a  a
 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  X  X  0  X a^2*X  0 a*X a*X a^2*X a*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+804x^98+501x^100+2172x^102+960x^104+3012x^106+1143x^108+3300x^110+1056x^112+2376x^114+405x^116+624x^118+12x^120+9x^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 14.9 seconds.