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 X 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 1 (a+1)X 1 1 1 1 aX 1 1 1 1 1 1 1 1 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 X+a aX+a+1 a+1 aX+1 aX a a+1 0 1 1 (a+1)X+a+1 1 aX+a aX+a 1 1 (a+1)X+a+1 (a+1)X+a aX (a+1)X+a X+1 aX+1 (a+1)X+a+1 (a+1)X+1 (a+1)X (a+1)X (a+1)X+a 1 (a+1)X+a aX 1 (a+1)X+1 X+1 1 (a+1)X aX+1 (a+1)X 1 X aX+1 aX+1 (a+1)X 1 X (a+1)X+1 X (a+1)X+1 0 aX+a a 0 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 (a+1)X aX (a+1)X (a+1)X (a+1)X aX X aX aX X 0 aX (a+1)X aX (a+1)X aX aX X X 0 0 X (a+1)X (a+1)X (a+1)X (a+1)X aX aX (a+1)X 0 (a+1)X aX (a+1)X X X 0 aX X X (a+1)X 0 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 aX (a+1)X (a+1)X X (a+1)X (a+1)X 0 0 X (a+1)X (a+1)X X 0 (a+1)X (a+1)X aX (a+1)X X X (a+1)X X aX aX 0 0 0 X (a+1)X (a+1)X X X 0 X 0 aX aX (a+1)X X (a+1)X aX 0 0 aX 0 X 0 (a+1)X aX (a+1)X 0 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 X 0 0 X aX (a+1)X (a+1)X aX (a+1)X X aX X 0 aX (a+1)X 0 (a+1)X aX X aX X X (a+1)X (a+1)X 0 X 0 X (a+1)X aX aX (a+1)X (a+1)X aX 0 X 0 X 0 aX X X X (a+1)X 0 0 0 aX 0 X generates a code of length 75 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 208. Homogenous weight enumerator: w(x)=1x^0+87x^208+24x^210+204x^211+420x^212+276x^214+732x^215+957x^216+420x^218+948x^219+1062x^220+552x^222+1104x^223+1401x^224+720x^226+1152x^227+1425x^228+660x^230+1260x^231+1125x^232+372x^234+564x^235+408x^236+48x^238+168x^239+135x^240+12x^243+51x^244+30x^248+18x^252+18x^256+18x^260+6x^264+6x^268 The gray image is a linear code over GF(4) with n=300, k=7 and d=208. This code was found by Heurico 1.16 in 1.71 seconds.