The generator matrix

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

generates a code of length 32 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+336x^86+276x^87+633x^88+216x^89+1140x^90+1080x^91+789x^92+312x^93+1488x^94+1152x^95+1155x^96+648x^97+1752x^98+1416x^99+1017x^100+360x^101+1152x^102+684x^103+468x^104+276x^106+15x^108+12x^112+3x^116+3x^120

The gray image is a linear code over GF(4) with n=128, k=7 and d=86.
This code was found by Heurico 1.16 in 2.34 seconds.