The generator matrix

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

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+408x^180+1680x^181+1260x^184+5256x^185+2778x^188+7932x^189+2955x^192+9444x^193+3120x^196+9672x^197+2940x^200+8784x^201+1992x^204+4812x^205+780x^208+1476x^209+144x^212+96x^213+6x^220

The gray image is a linear code over GF(4) with n=260, k=8 and d=180.
This code was found by Heurico 1.16 in 21.6 seconds.