The generator matrix

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

generates a code of length 65 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 180.

Homogenous weight enumerator: w(x)=1x^0+87x^180+168x^184+180x^188+933x^192+2385x^196+99x^200+72x^204+36x^208+30x^212+42x^216+21x^220+21x^224+6x^228+3x^232+3x^236+6x^240+3x^256

The gray image is a linear code over GF(4) with n=260, k=6 and d=180.
This code was found by Heurico 1.16 in 0.222 seconds.