The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 (a+1)X 1 1 X 1 1 1 1 X 1 aX 1 (a+1)X 1 1 aX 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 a a+1 0 (a+1)X+1 (a+1)X+a+1 a 1 0 (a+1)X+1 (a+1)X+a+1 1 a X (a+1)X+a+1 1 (a+1)X+1 a aX+a+1 0 aX+1 1 a (a+1)X+a+1 (a+1)X+a+1 aX+1 aX X+a aX+a+1 0 1 1 (a+1)X+1 X+a 1 aX X+a aX+a+1 (a+1)X+a 1 X+1 1 aX+a+1 1 (a+1)X aX+a 1 aX+1 X+a+1 (a+1)X+1 (a+1)X+a+1 X+a+1 aX+a+1 (a+1)X aX+a+1 (a+1)X+a+1 X+1 (a+1)X X 1 1 1 X+a+1 (a+1)X aX+a+1 aX+a+1 (a+1)X+a aX+1 aX+a+1 (a+1)X+a+1 a 1 0 0 (a+1)X 0 0 0 X aX X X X (a+1)X (a+1)X aX aX aX 0 0 X aX (a+1)X aX (a+1)X (a+1)X (a+1)X aX aX X X aX (a+1)X X X aX aX (a+1)X aX aX (a+1)X (a+1)X X aX 0 aX X X aX aX (a+1)X aX aX (a+1)X (a+1)X X X (a+1)X 0 (a+1)X aX 0 (a+1)X (a+1)X 0 aX X (a+1)X 0 aX aX 0 (a+1)X (a+1)X aX (a+1)X 0 0 0 X 0 X (a+1)X (a+1)X X (a+1)X 0 (a+1)X X X 0 X (a+1)X 0 (a+1)X 0 0 X (a+1)X (a+1)X X (a+1)X aX (a+1)X X (a+1)X (a+1)X 0 0 X aX 0 (a+1)X X X (a+1)X X (a+1)X (a+1)X (a+1)X aX X 0 (a+1)X (a+1)X X (a+1)X X aX X (a+1)X aX aX aX X (a+1)X 0 0 (a+1)X aX 0 0 0 aX (a+1)X 0 0 (a+1)X 0 X 0 0 0 0 (a+1)X (a+1)X (a+1)X (a+1)X 0 aX X aX 0 aX (a+1)X X X (a+1)X X aX X (a+1)X 0 (a+1)X aX 0 X 0 X aX (a+1)X (a+1)X aX (a+1)X (a+1)X 0 aX aX X X X (a+1)X aX 0 0 0 0 (a+1)X aX aX X aX X aX (a+1)X X (a+1)X aX X (a+1)X aX (a+1)X 0 0 (a+1)X (a+1)X X (a+1)X aX 0 0 0 X aX generates a code of length 74 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 207. Homogenous weight enumerator: w(x)=1x^0+156x^207+156x^208+132x^209+228x^210+888x^211+228x^212+396x^213+300x^214+1308x^215+129x^216+588x^217+420x^218+1680x^219+99x^220+564x^221+936x^222+1812x^223+75x^224+540x^225+732x^226+1956x^227+93x^228+564x^229+396x^230+996x^231+57x^232+276x^233+60x^234+360x^235+42x^236+12x^237+48x^239+39x^240+12x^243+30x^244+21x^248+18x^252+15x^256+15x^260+3x^264+3x^268 The gray image is a linear code over GF(4) with n=296, k=7 and d=207. This code was found by Heurico 1.16 in 12 seconds.