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

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+552x^98+480x^99+363x^100+204x^101+1284x^102+900x^103+621x^104+348x^105+1992x^106+1140x^107+612x^108+612x^109+1872x^110+1260x^111+630x^112+372x^113+1584x^114+732x^115+297x^116+396x^118+96x^119+9x^120+18x^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 472 seconds.