The generator matrix

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

generates a code of length 71 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 197.

Homogenous weight enumerator: w(x)=1x^0+408x^197+432x^198+372x^199+1128x^200+2160x^201+1224x^202+1236x^203+1674x^204+3288x^205+2052x^206+1812x^207+2487x^208+4536x^209+2460x^210+2040x^211+2748x^212+4920x^213+2736x^214+1908x^215+2784x^216+5088x^217+2316x^218+1776x^219+2337x^220+3444x^221+1764x^222+1176x^223+1266x^224+1860x^225+708x^226+372x^227+390x^228+372x^229+120x^230+60x^231+30x^232+36x^233+12x^234+3x^236

The gray image is a linear code over GF(4) with n=284, k=8 and d=197.
This code was found by Heurico 1.16 in 21.9 seconds.