The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1 a^2*X  1  0  1  X  1 a*X  1  1  1  1 a^2*X  1  1  1 a*X  1  1  1  1  1  1  1  1  1  1  0  1 a^2*X  1  1  1  1  1  1  1  1  1  1 a*X  1  1  0  X  1  1  X  0  1  1  X  1  1 a^2*X  1
 0  1  0 a^2*X a*X  X  1 a^2*X+a a^2 a^2*X+1 a*X+1 X+1 a*X+a  1 X+a^2 X+a a^2*X+a^2  a  1 a*X+a^2  1  a  1  0  1 a*X+1 a^2*X X+a^2 a^2  1 X+1 a^2*X+a  X  0 a*X+a^2 a^2*X+a X+a a^2 a*X+1 a^2*X a*X+a^2  1 a*X+a X+a^2  1 a^2*X+1  1 a*X+a a*X  0 X+a  1 X+1 a^2*X+a X+a a*X+1 a*X+a  1 a*X+a^2 a^2*X+a^2  1 a*X X+1 a*X  1 a*X a*X+1 a^2  1 a^2*X+1 a^2*X  1 X+1
 0  0  1  1  a a^2 X+a^2 a^2*X+a^2 a*X+a^2 X+a a*X+1  X X+1 a^2*X+a^2 a*X+a a^2*X+a a^2*X+1  0 a*X+1 a*X X+a  X a^2*X+a a*X a^2*X+1 X+a^2 a^2*X+1 a*X+1 a*X+a  X X+a a^2*X+a a^2*X+a^2  1 X+a^2  X  1 a^2*X+1  0 a^2 a^2*X+a a*X+a X+a  a  1 a*X+1 a^2*X a^2*X+a^2 a^2*X  1 a^2*X a^2  a X+a X+1  X a^2 a*X+a^2  a a^2*X a*X+1  1 a*X+a^2 a^2*X+a^2  0  1 a^2*X+a^2 a*X+1 X+a^2 a*X X+1 X+a^2  1

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

Homogenous weight enumerator: w(x)=1x^0+288x^211+192x^212+540x^213+432x^215+384x^216+432x^217+300x^219+168x^220+228x^221+240x^223+120x^224+120x^225+120x^227+69x^228+84x^229+96x^231+60x^232+72x^233+60x^235+24x^236+60x^237+3x^240+3x^244

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 0.125 seconds.