The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 X 1 (a+1)X 1 (a+1)X 1 X 1 1 1 1 1 1 1 aX 1 1 1 X 1 1 aX 1 1 1 1 1 (a+1)X 1 1 1 1 1 1 X aX 1 1 1 1 1 1 1 1 aX 1 1 1 X 1 1 (a+1)X X 1 1 aX X 1 0 1 1 1 1 1 1 1 1 (a+1)X 1 1 0 1 0 0 (a+1)X X (a+1)X aX aX aX 1 X+1 1 a 1 (a+1)X+1 1 X+a+1 1 a+1 X+1 aX+1 aX+a aX+a aX (a+1)X+a+1 1 aX+a+1 0 1 1 X+a+1 a 1 (a+1)X (a+1)X+a (a+1)X aX+a+1 a (a+1)X (a+1)X+a 1 a aX+a+1 X+a aX+a+1 1 0 (a+1)X+1 a+1 (a+1)X+a+1 a+1 0 a X+1 1 1 (a+1)X+a a (a+1)X+1 1 X+1 aX+a 1 (a+1)X aX+a X+1 1 1 aX+1 (a+1)X (a+1)X+a+1 X+a+1 (a+1)X 0 0 X+a+1 (a+1)X+1 (a+1)X+1 1 aX aX 0 0 1 0 0 (a+1)X X 1 (a+1)X+a a+1 aX aX 0 (a+1)X (a+1)X+1 aX+a 1 a X+a X+1 aX+a+1 (a+1)X+a+1 (a+1)X+1 X+a (a+1)X+a+1 (a+1)X+a+1 (a+1)X+1 aX X+a+1 (a+1)X+1 1 X+1 aX+a+1 aX+a aX+a 0 aX+1 a+1 (a+1)X+a+1 1 a+1 (a+1)X+a+1 aX+a (a+1)X+a (a+1)X X+1 a 1 (a+1)X+a a+1 0 X+a X+1 (a+1)X+1 (a+1)X+a+1 a+1 X+a+1 X+a aX+1 aX+1 X aX+a X+a+1 0 1 1 a a+1 a+1 X aX X aX+1 a a (a+1)X (a+1)X+a+1 aX+a+1 (a+1)X a+1 (a+1)X+a+1 aX+1 0 0 0 1 1 a (a+1)X+a+1 a+1 aX+a+1 X+a+1 (a+1)X+a+1 (a+1)X+1 aX+a (a+1)X aX X+a (a+1)X+a (a+1)X+a 1 0 X+a+1 (a+1)X+1 a+1 (a+1)X (a+1)X+a aX+1 1 0 (a+1)X (a+1)X aX+a+1 aX+1 a X+a 0 aX+1 X (a+1)X (a+1)X+a+1 aX+a 0 X X+1 1 aX+a X+a X (a+1)X+a+1 X+1 aX+a X+a+1 a+1 a (a+1)X+a X+a+1 X+a a+1 a 0 (a+1)X+1 a+1 (a+1)X 1 X+1 X+a+1 aX+1 aX+a+1 X aX+a X 1 aX+1 (a+1)X X+a (a+1)X+1 a+1 (a+1)X+a+1 aX X+a (a+1)X 1 0 generates a code of length 82 over F4[X,sigma]/(X^2) who�s minimum homogenous weight is 230. Homogenous weight enumerator: w(x)=1x^0+792x^230+792x^231+414x^232+660x^233+2316x^234+2280x^235+759x^236+924x^237+3840x^238+3828x^239+1200x^240+1380x^241+4404x^242+3636x^243+1134x^244+1200x^245+4848x^246+4080x^247+1440x^248+1224x^249+4632x^250+3696x^251+1095x^252+1272x^253+3900x^254+2796x^255+615x^256+756x^257+2064x^258+1500x^259+432x^260+240x^261+684x^262+408x^263+66x^264+12x^265+168x^266+24x^267+12x^268+12x^269 The gray image is a linear code over GF(4) with n=328, k=8 and d=230. This code was found by Heurico 1.16 in 93 seconds.