The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 X X 1 1 1 X 1 1 1 1 1 1 X 1 X 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 aX (a+1)X X (a+1)X X (a+1)X aX (a+1)X (a+1)X aX 0 (a+1)X aX X X (a+1)X aX aX X 0 aX aX aX 0 X aX (a+1)X 0 (a+1)X (a+1)X aX aX aX aX aX (a+1)X aX aX 0 X X X (a+1)X (a+1)X 0 0 X aX X X 0 0 (a+1)X (a+1)X (a+1)X 0 aX 0 0 (a+1)X X (a+1)X 0 X 0 0 0 X 0 0 0 0 X X X aX 0 aX (a+1)X (a+1)X (a+1)X aX (a+1)X (a+1)X X aX 0 X 0 aX X X X aX 0 aX aX aX (a+1)X X aX X aX (a+1)X aX X X (a+1)X (a+1)X aX aX 0 aX aX aX (a+1)X aX 0 (a+1)X 0 0 X (a+1)X (a+1)X aX 0 X X 0 aX X (a+1)X X X X (a+1)X aX X 0 0 0 0 0 0 X 0 0 X (a+1)X aX aX aX aX 0 (a+1)X aX aX (a+1)X aX (a+1)X 0 (a+1)X 0 aX (a+1)X 0 X aX aX 0 aX 0 (a+1)X (a+1)X aX X aX (a+1)X 0 aX (a+1)X 0 X (a+1)X aX X (a+1)X (a+1)X aX X aX 0 (a+1)X aX 0 (a+1)X X (a+1)X 0 (a+1)X 0 0 X X aX X X (a+1)X (a+1)X (a+1)X (a+1)X aX X X X 0 0 0 0 0 0 X 0 (a+1)X 0 X aX (a+1)X aX (a+1)X 0 aX aX X 0 X aX aX X aX (a+1)X aX 0 0 0 0 (a+1)X aX (a+1)X 0 (a+1)X 0 X X (a+1)X (a+1)X aX 0 X (a+1)X (a+1)X 0 aX aX aX (a+1)X X (a+1)X (a+1)X aX aX X (a+1)X 0 0 aX X 0 aX aX (a+1)X (a+1)X X 0 aX 0 X aX (a+1)X 0 (a+1)X aX X 0 0 0 0 0 X X X (a+1)X X X 0 (a+1)X X aX (a+1)X X X (a+1)X 0 (a+1)X X aX (a+1)X X 0 (a+1)X X X (a+1)X (a+1)X aX aX 0 0 X aX aX aX 0 0 0 (a+1)X X X X X 0 0 (a+1)X aX 0 (a+1)X 0 (a+1)X 0 aX 0 (a+1)X X (a+1)X 0 (a+1)X 0 (a+1)X aX 0 aX (a+1)X X (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X aX generates a code of length 76 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 204. Homogenous weight enumerator: w(x)=1x^0+96x^204+303x^208+396x^212+168x^215+426x^216+648x^219+447x^220+2256x^223+378x^224+3792x^227+342x^228+3720x^231+333x^232+1704x^235+288x^236+282x^240+249x^244+225x^248+123x^252+84x^256+54x^260+48x^264+18x^268+3x^276 The gray image is a linear code over GF(4) with n=304, k=7 and d=204. This code was found by Heurico 1.16 in 3.64 seconds.