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

generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 212.

Homogenous weight enumerator: w(x)=1x^0+378x^212+420x^213+384x^214+228x^215+600x^216+264x^217+144x^218+60x^219+336x^220+204x^221+108x^222+48x^223+231x^224+96x^225+36x^226+12x^227+120x^228+96x^229+36x^230+12x^231+24x^232+48x^233+12x^234+99x^236+24x^237+48x^238+24x^239+3x^252

The gray image is a linear code over GF(4) with n=292, k=6 and d=212.
This code was found by Heurico 1.16 in 6.66 seconds.