The generator matrix

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

generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+828x^102+393x^104+960x^106+360x^108+432x^110+135x^112+624x^114+120x^116+228x^118+15x^120

The gray image is a linear code over GF(4) with n=144, k=6 and d=102.
This code was found by Heurico 1.16 in 52.4 seconds.