The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 aX  1  1  0  1  X aX  1  1  X  1  1  1  1  X  1  1  1 (a+1)X  1  X  1
 0  1  0 (a+1)X  X aX  1 (a+1)X+a (a+1)X+1 X+1 X+a+1  a aX+1  1 aX+a (a+1)X+a+1  1  a  1  1 (a+1)X+a a+1  X aX+1 aX+a X+1  1  1 (a+1)X+a+1 X+a (a+1)X+1  1 aX+a+1  1 (a+1)X+a
 0  0  1  1 (a+1)X+a (a+1)X+a+1 a+1 aX+a+1 X+a aX+1 X+1 aX  X  1 (a+1)X+1 X+a+1 aX+a+1 X+a (a+1)X+a (a+1)X+a  a aX+a  1  0  a X+1  X (a+1)X aX+a  1 (a+1)X+1 X+1 (a+1)X+a aX+a+1 (a+1)X+1

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

Homogenous weight enumerator: w(x)=1x^0+744x^99+357x^100+1032x^103+240x^104+528x^107+228x^108+552x^111+183x^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 7.34 seconds.