The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+636x^98+735x^100+2016x^102+1422x^104+2556x^106+1338x^108+2964x^110+1413x^112+2040x^114+693x^116+540x^118+12x^120+12x^124+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 50.1 seconds.