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

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+291x^180+1392x^181+624x^182+252x^183+1785x^184+3312x^185+1068x^186+432x^187+2961x^188+5496x^189+1500x^190+600x^191+3648x^192+6336x^193+1956x^194+504x^195+3942x^196+6672x^197+1680x^198+600x^199+3447x^200+6312x^201+1344x^202+480x^203+2460x^204+3264x^205+744x^206+168x^207+783x^208+936x^209+288x^210+24x^211+135x^212+72x^213+12x^214+12x^215+3x^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 28.9 seconds.