The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 0 1 1 1 (a+1)X 1 1 1 (a+1)X 1 1 1 1 X 1 1 0 1 1 1 1 1 1 aX 1 aX 0 1 0 1 1 1 1 (a+1)X 1 1 1 1 1 aX 1 1 1 0 1 1 1 aX 1 X 1 1 1 0 1 1 0 1 1 aX 0 1 0 0 0 (a+1)X 1 (a+1)X+a a+1 (a+1)X+1 1 (a+1)X+a (a+1)X+a+1 a 1 (a+1)X+a+1 1 (a+1)X+1 a+1 a 1 a+1 X+1 (a+1)X+a 1 a X+1 (a+1)X+1 (a+1)X+a+1 1 1 0 1 X+a+1 (a+1)X+a aX 0 X+a aX 1 X X 1 (a+1)X+1 1 X+1 aX+a+1 X X+a+1 1 (a+1)X+1 a X+a (a+1)X+a (a+1)X+a 1 (a+1)X X+a a+1 1 0 X aX 1 X+a aX aX+a+1 aX+a a+1 1 aX 0 1 aX+a aX+1 (a+1)X 0 0 1 1 a a+1 1 X+1 1 0 a+1 X+a+1 aX a X+1 aX+a a a a+1 X X+a+1 aX+1 X X+a+1 (a+1)X+1 X+a aX+1 (a+1)X+a+1 0 (a+1)X+a (a+1)X+a (a+1)X+a (a+1)X (a+1)X+a+1 0 1 a+1 1 aX (a+1)X+a+1 aX+a 1 (a+1)X X+a+1 a+1 (a+1)X a aX+1 aX+a 1 (a+1)X+1 (a+1)X+a+1 X+1 (a+1)X X aX+1 X (a+1)X aX+a+1 (a+1)X+a aX+1 (a+1)X+a+1 a+1 aX 1 1 X+a+1 X+1 (a+1)X+1 aX+1 aX+1 0 0 (a+1)X+1 (a+1)X+1 1 0 0 0 (a+1)X 0 0 0 aX aX aX (a+1)X X X (a+1)X (a+1)X X X aX (a+1)X aX X 0 (a+1)X X X X 0 0 0 0 aX (a+1)X 0 aX aX X aX (a+1)X (a+1)X aX aX (a+1)X (a+1)X 0 aX aX aX aX (a+1)X aX X (a+1)X 0 (a+1)X 0 X (a+1)X (a+1)X 0 0 aX (a+1)X X aX X X X 0 0 (a+1)X (a+1)X 0 0 X (a+1)X 0 0 0 0 0 X aX (a+1)X X 0 aX X (a+1)X X aX (a+1)X 0 X 0 aX aX (a+1)X 0 0 0 X X aX X (a+1)X X X aX aX X 0 aX 0 (a+1)X (a+1)X 0 X 0 aX aX aX (a+1)X aX (a+1)X (a+1)X 0 X aX (a+1)X 0 aX 0 aX aX X (a+1)X X 0 X aX (a+1)X (a+1)X X X X aX (a+1)X (a+1)X X 0 (a+1)X aX generates a code of length 76 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 211. Homogenous weight enumerator: w(x)=1x^0+636x^211+633x^212+2952x^215+1314x^216+5760x^219+1872x^220+7752x^223+2490x^224+9312x^227+3261x^228+9636x^231+3081x^232+7644x^235+2307x^236+4032x^239+978x^240+1212x^243+321x^244+204x^247+39x^248+12x^251+33x^252+12x^256+18x^260+18x^264+3x^272+3x^276 The gray image is a linear code over GF(4) with n=304, k=8 and d=211. This code was found by Heurico 1.16 in 55.2 seconds.