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 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 X X 0 X 0 0 0 0 0 0 0 0 0 aX (a+1)X aX X aX (a+1)X aX X 0 aX 0 aX X X (a+1)X aX aX 0 (a+1)X X aX (a+1)X X aX aX (a+1)X aX (a+1)X X aX 0 (a+1)X 0 aX 0 (a+1)X aX aX X 0 0 aX 0 X X (a+1)X X 0 X X X X (a+1)X X 0 X 0 X aX X (a+1)X 0 X 0 0 X 0 0 0 0 X X X aX 0 aX aX aX (a+1)X 0 (a+1)X (a+1)X X X aX 0 X 0 aX aX X X (a+1)X 0 (a+1)X (a+1)X aX X 0 0 0 X X aX 0 X X aX aX X (a+1)X (a+1)X (a+1)X aX 0 0 (a+1)X (a+1)X (a+1)X (a+1)X X 0 aX X (a+1)X 0 aX 0 (a+1)X (a+1)X aX X 0 X aX X X 0 0 0 X 0 0 X (a+1)X aX aX aX 0 (a+1)X aX aX X (a+1)X aX aX 0 (a+1)X X (a+1)X X aX X 0 X aX 0 X X X 0 0 X (a+1)X (a+1)X aX aX X 0 (a+1)X 0 0 X (a+1)X 0 (a+1)X (a+1)X aX X X (a+1)X (a+1)X X aX (a+1)X 0 0 0 X 0 aX (a+1)X 0 X X X (a+1)X aX (a+1)X 0 0 0 0 0 0 X 0 (a+1)X 0 X aX (a+1)X (a+1)X X 0 0 aX 0 aX 0 X aX X 0 aX X aX X aX X 0 aX (a+1)X (a+1)X (a+1)X X aX aX X 0 (a+1)X X aX aX X (a+1)X (a+1)X X 0 (a+1)X aX (a+1)X 0 X aX aX 0 aX aX X 0 X X (a+1)X 0 0 aX 0 (a+1)X aX (a+1)X (a+1)X (a+1)X 0 0 0 0 0 0 0 X X X (a+1)X X X aX X 0 aX (a+1)X (a+1)X aX aX aX aX (a+1)X X aX aX aX X aX aX aX (a+1)X (a+1)X 0 0 (a+1)X 0 X 0 0 0 X X (a+1)X 0 aX X aX aX 0 0 aX X (a+1)X 0 aX 0 (a+1)X (a+1)X (a+1)X 0 0 aX (a+1)X 0 aX 0 (a+1)X (a+1)X X X (a+1)X aX (a+1)X 0 generates a code of length 74 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 200. Homogenous weight enumerator: w(x)=1x^0+225x^200+357x^204+438x^208+48x^210+408x^212+576x^214+387x^216+2592x^218+393x^220+5184x^222+330x^224+3888x^226+354x^228+300x^232+243x^236+237x^240+162x^244+111x^248+75x^252+42x^256+24x^260+6x^264+3x^280 The gray image is a linear code over GF(4) with n=296, k=7 and d=200. This code was found by Heurico 1.16 in 3.58 seconds.