The generator matrix

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

generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 211.

Homogenous weight enumerator: w(x)=1x^0+144x^211+420x^212+300x^213+84x^214+516x^215+507x^216+300x^217+60x^218+312x^219+195x^220+156x^221+144x^223+153x^224+84x^225+24x^226+108x^227+201x^228+48x^229+12x^230+60x^231+60x^232+48x^233+12x^234+36x^235+60x^236+24x^237+24x^239+3x^256

The gray image is a linear code over GF(4) with n=292, k=6 and d=211.
This code was found by Heurico 1.16 in 0.107 seconds.