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 1 1 1 1 1 X X 1 1 1 X 1 X 1 1 X X 1 X 1 1 X 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 aX 0 (a+1)X aX 0 aX (a+1)X (a+1)X (a+1)X (a+1)X X X aX 0 0 (a+1)X X (a+1)X (a+1)X (a+1)X X X 0 X X aX X (a+1)X 0 X (a+1)X X 0 (a+1)X X aX aX 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 X X 0 X aX aX 0 0 X 0 (a+1)X 0 X aX 0 X X X (a+1)X aX X X aX (a+1)X X aX aX 0 (a+1)X aX X X (a+1)X X X (a+1)X 0 (a+1)X 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 0 (a+1)X (a+1)X (a+1)X X 0 0 (a+1)X 0 (a+1)X aX (a+1)X aX 0 0 (a+1)X (a+1)X aX 0 aX 0 X 0 0 aX X aX X 0 (a+1)X aX X (a+1)X aX X (a+1)X (a+1)X 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 (a+1)X (a+1)X aX 0 (a+1)X X aX aX (a+1)X 0 (a+1)X (a+1)X (a+1)X aX (a+1)X 0 aX X (a+1)X 0 (a+1)X X (a+1)X aX aX 0 (a+1)X aX (a+1)X 0 aX 0 aX (a+1)X aX 0 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 (a+1)X (a+1)X X aX (a+1)X aX X X aX 0 (a+1)X aX X aX (a+1)X aX (a+1)X 0 0 (a+1)X (a+1)X 0 X (a+1)X 0 (a+1)X 0 aX (a+1)X (a+1)X X (a+1)X X (a+1)X aX (a+1)X aX X generates a code of length 73 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 196. Homogenous weight enumerator: w(x)=1x^0+138x^196+324x^200+48x^203+417x^204+276x^207+444x^208+1116x^211+477x^212+2568x^215+321x^216+3624x^219+303x^220+3492x^223+369x^224+1164x^227+321x^228+270x^232+201x^236+213x^240+123x^244+114x^248+27x^252+21x^256+9x^260+3x^264 The gray image is a linear code over GF(4) with n=292, k=7 and d=196. This code was found by Heurico 1.16 in 3.4 seconds.