The generator matrix

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

generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 203.

Homogenous weight enumerator: w(x)=1x^0+528x^203+393x^204+468x^205+1176x^206+1920x^207+990x^208+1260x^209+2196x^210+3804x^211+1692x^212+1512x^213+2700x^214+4284x^215+2223x^216+2136x^217+3312x^218+4668x^219+2340x^220+2052x^221+2736x^222+5016x^223+1959x^224+1788x^225+2772x^226+3540x^227+1407x^228+1008x^229+1500x^230+1788x^231+603x^232+480x^233+456x^234+516x^235+165x^236+48x^237+48x^238+48x^239+3x^244

The gray image is a linear code over GF(4) with n=292, k=8 and d=203.
This code was found by Heurico 1.16 in 20.8 seconds.