The generator matrix

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

generates a code of length 35 over F4[X]/(X^2) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+744x^99+333x^100+1080x^103+264x^104+432x^107+252x^108+600x^111+159x^112+216x^115+15x^116

The gray image is a linear code over GF(4) with n=140, k=6 and d=99.
This code was found by Heurico 1.16 in 86.3 seconds.