The generator matrix

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

generates a code of length 65 over F4[X]/(X^2) who´s minimum homogenous weight is 184.

Homogenous weight enumerator: w(x)=1x^0+1260x^184+3012x^188+3780x^192+3009x^196+2496x^200+1686x^204+924x^208+204x^212+6x^220+3x^224+3x^228

The gray image is a linear code over GF(4) with n=260, k=7 and d=184.
This code was found by Heurico 1.16 in 1.37 seconds.