The generator matrix

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

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+243x^180+72x^181+156x^183+969x^184+360x^185+408x^187+1392x^188+444x^189+564x^191+1983x^192+576x^193+720x^195+2118x^196+672x^197+708x^199+1932x^200+648x^201+408x^203+1050x^204+252x^205+108x^207+357x^208+48x^209+99x^212+21x^216+33x^220+21x^224+6x^228+12x^232+3x^236

The gray image is a linear code over GF(4) with n=260, k=7 and d=180.
This code was found by Heurico 1.16 in 1.47 seconds.