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

generates a code of length 71 over F4[X]/(X^2) who´s minimum homogenous weight is 206.

Homogenous weight enumerator: w(x)=1x^0+468x^206+504x^207+99x^208+864x^210+516x^211+45x^212+348x^214+144x^215+72x^216+276x^218+168x^219+12x^220+192x^222+96x^223+12x^224+60x^226+36x^227+12x^228+96x^230+72x^231+3x^260

The gray image is a linear code over GF(4) with n=284, k=6 and d=206.
This code was found by Heurico 1.16 in 0.297 seconds.