The generator matrix

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

generates a code of length 36 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+684x^92+348x^93+672x^94+1248x^95+3615x^96+2364x^97+2652x^98+4788x^99+9114x^100+6828x^101+5988x^102+9696x^103+18384x^104+14232x^105+10584x^106+17544x^107+27660x^108+19956x^109+13224x^110+18816x^111+24903x^112+14412x^113+8076x^114+8484x^115+10530x^116+3300x^117+1812x^118+864x^119+1272x^120+51x^124+27x^128+6x^132+6x^136+3x^140

The gray image is a linear code over GF(4) with n=144, k=9 and d=92.
This code was found by Heurico 1.16 in 118 seconds.