The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 (a+1)X 1 1 aX 1 1 1 aX 1 1 aX 1 1 1 1 1 X 1 1 1 1 0 1 1 (a+1)X 1 1 1 1 1 1 1 (a+1)X X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 0 1 0 0 0 X X (a+1)X+1 aX+1 1 aX+a a+1 X+a (a+1)X+a+1 1 X (a+1)X a a 1 a+1 X+a 0 1 X a+1 1 (a+1)X+a+1 aX+a aX+1 aX+a+1 1 aX (a+1)X+1 1 a aX+1 1 aX+1 X+a 1 a+1 1 0 1 (a+1)X+a+1 (a+1)X+a+1 X+1 1 1 a+1 a 0 a (a+1)X+a (a+1)X 0 (a+1)X X+1 1 X+a (a+1)X+a aX aX X 0 0 1 0 1 (a+1)X+a (a+1)X+a+1 X aX+a aX+a aX 0 aX+a+1 aX+1 a+1 X+a 1 aX+1 (a+1)X+a X+a X X 0 (a+1)X+a a+1 X+1 (a+1)X+a+1 X+a 1 (a+1)X+a X+a (a+1)X+a+1 1 (a+1)X+a 1 a aX+a+1 aX+1 aX X+a X+a+1 (a+1)X+a+1 aX+1 (a+1)X aX+a+1 (a+1)X+a+1 0 a a+1 (a+1)X+1 1 (a+1)X+a+1 X+1 (a+1)X+1 aX 1 aX+a+1 a X+a+1 0 X+a+1 aX+1 X+a+1 a+1 1 0 0 0 1 a+1 a 1 (a+1)X+a aX (a+1)X+a (a+1)X+1 X+a+1 a aX+a 0 aX 1 aX+1 aX+1 (a+1)X X+1 (a+1)X+a a+1 X+1 X a+1 0 aX+a a+1 (a+1)X+a+1 aX+a+1 X+a aX+a+1 (a+1)X+a (a+1)X (a+1)X+a+1 1 X+a+1 X+1 aX (a+1)X+1 (a+1)X+1 aX+a aX+a aX+a+1 X+a (a+1)X (a+1)X a X (a+1)X+1 0 a aX X+1 X+a aX a X aX+a X X+a aX+a+1 (a+1)X+1 (a+1)X+a+1 0 0 0 0 X 0 aX 0 0 0 aX X aX X aX X aX X (a+1)X aX (a+1)X X (a+1)X aX X aX (a+1)X aX 0 0 0 X 0 aX X aX X 0 0 0 X 0 aX (a+1)X (a+1)X aX (a+1)X (a+1)X 0 (a+1)X aX aX 0 (a+1)X (a+1)X X 0 (a+1)X 0 X (a+1)X 0 X X X generates a code of length 65 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 175. Homogenous weight enumerator: w(x)=1x^0+288x^175+348x^176+468x^177+1356x^178+1824x^179+2043x^180+2124x^181+4176x^182+4788x^183+3834x^184+4224x^185+7416x^186+7944x^187+7569x^188+6732x^189+12600x^190+12348x^191+11313x^192+9816x^193+16908x^194+16320x^195+13668x^196+10956x^197+17532x^198+15048x^199+11310x^200+9072x^201+13104x^202+10056x^203+6765x^204+4260x^205+5568x^206+4284x^207+2187x^208+1380x^209+1152x^210+816x^211+252x^212+120x^213+60x^214+12x^215+42x^216+24x^220+12x^224+9x^228+6x^232+6x^236+3x^240 The gray image is a linear code over GF(4) with n=260, k=9 and d=175. This code was found by Heurico 1.16 in 259 seconds.