The generator matrix 1 0 0 0 1 1 1 1 1 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 1 1 1 1 aX 1 0 0 (a+1)X 1 1 1 0 1 1 1 1 1 1 0 1 (a+1)X 1 1 1 (a+1)X 1 0 0 X 1 1 aX 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 X X+a aX+a+1 (a+1)X+1 1 aX+a a a+1 0 aX+a aX+a+1 aX+1 1 aX+a+1 1 1 aX (a+1)X aX+1 a 0 (a+1)X X+1 (a+1)X+a 0 1 X+a aX 1 1 X+1 1 aX+a 1 aX+a+1 X 1 a+1 aX+a aX+1 (a+1)X aX+a+1 1 (a+1)X+a+1 0 X+a 1 a+1 1 1 1 a+1 a 1 aX 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 X+a+1 (a+1)X+1 aX aX+a aX+a X aX aX+1 aX+1 X+a X+a (a+1)X+1 (a+1)X+a+1 aX+a+1 aX+1 aX+a+1 a X (a+1)X+a aX+a (a+1)X aX+a+1 (a+1)X+a+1 X+a+1 X aX 1 aX+a+1 (a+1)X+a (a+1)X+a+1 X+a a+1 X aX+a+1 X+1 (a+1)X+a (a+1)X+a+1 X+a (a+1)X+a 1 a (a+1)X+1 a+1 (a+1)X aX+1 aX+1 (a+1)X+1 X+1 a 0 (a+1)X 0 aX+a+1 aX 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 X+1 1 a+1 aX+a+1 X X+a (a+1)X a X (a+1)X X+1 aX+1 aX+1 a 1 a aX+a aX+a+1 X+1 1 0 X+a+1 X+a a+1 aX+a+1 X+a+1 aX+a X+a+1 (a+1)X (a+1)X+1 a+1 (a+1)X+a+1 X aX+1 1 (a+1)X+a a+1 X+1 a a aX+a (a+1)X aX+a X+a+1 a+1 (a+1)X+1 0 (a+1)X a aX+a (a+1)X 0 aX+a+1 (a+1)X+a X+a 0 0 0 0 X 0 aX 0 0 0 aX X aX X (a+1)X (a+1)X aX X X X aX (a+1)X aX 0 0 (a+1)X X 0 aX X X X X aX aX aX (a+1)X 0 aX aX 0 aX X 0 (a+1)X (a+1)X aX aX (a+1)X 0 0 X 0 aX aX (a+1)X aX X 0 0 0 0 X X X X X 0 aX generates a code of length 69 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 187. Homogenous weight enumerator: w(x)=1x^0+384x^187+615x^188+612x^189+1008x^190+2280x^191+2442x^192+2892x^193+2448x^194+5592x^195+5133x^196+5124x^197+4908x^198+9264x^199+8163x^200+8520x^201+7608x^202+14232x^203+12222x^204+12240x^205+10212x^206+18504x^207+12783x^208+13308x^209+10212x^210+17832x^211+12864x^212+10932x^213+8196x^214+12192x^215+7410x^216+6000x^217+3792x^218+4680x^219+3114x^220+1620x^221+732x^222+960x^223+669x^224+192x^225+36x^226+96x^227+57x^228+18x^232+15x^236+15x^240+12x^244+3x^248 The gray image is a linear code over GF(4) with n=276, k=9 and d=187. This code was found by Heurico 1.16 in 276 seconds.