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

generates a code of length 69 over F4[X]/(X^2) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+474x^200+504x^201+300x^202+546x^204+444x^205+228x^206+252x^208+228x^209+84x^210+192x^212+156x^213+84x^214+162x^216+108x^217+48x^218+99x^220+72x^221+24x^222+60x^224+24x^225+3x^236+3x^240

The gray image is a linear code over GF(4) with n=276, k=6 and d=200.
This code was found by Heurico 1.16 in 7.62 seconds.