The generator matrix

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

generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 95.

Homogenous weight enumerator: w(x)=1x^0+432x^95+555x^96+528x^97+936x^98+2196x^99+1764x^100+2112x^101+1800x^102+3528x^103+3126x^104+3312x^105+2988x^106+5376x^107+4710x^108+4944x^109+3708x^110+5880x^111+4248x^112+3648x^113+2460x^114+3564x^115+1860x^116+816x^117+396x^118+528x^119+102x^120+18x^124

The gray image is a linear code over GF(4) with n=144, k=8 and d=95.
This code was found by Heurico 1.16 in 9.13 seconds.