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 X 1 1 1 1 1 1 1 1 1 1 1 X 1 1 X 1 1 1 1 1 X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 aX (a+1)X X X X X aX (a+1)X aX (a+1)X aX aX X (a+1)X X (a+1)X X X X X (a+1)X (a+1)X X X 0 aX X (a+1)X (a+1)X X aX 0 aX (a+1)X 0 aX X (a+1)X aX (a+1)X (a+1)X X aX (a+1)X (a+1)X (a+1)X X (a+1)X 0 X (a+1)X 0 aX aX X X aX aX aX 0 0 X 0 0 0 0 X X X aX 0 aX (a+1)X X aX 0 (a+1)X 0 (a+1)X (a+1)X X X aX X X aX X (a+1)X 0 X (a+1)X aX 0 aX (a+1)X (a+1)X X 0 X X 0 aX (a+1)X 0 X aX X (a+1)X (a+1)X (a+1)X X (a+1)X (a+1)X (a+1)X (a+1)X aX (a+1)X aX X 0 X 0 X (a+1)X (a+1)X aX X 0 0 0 0 0 X 0 0 X (a+1)X aX aX aX 0 (a+1)X (a+1)X X aX aX aX X 0 (a+1)X 0 (a+1)X 0 X (a+1)X 0 (a+1)X aX X aX 0 0 aX X aX (a+1)X 0 0 X 0 (a+1)X (a+1)X aX 0 X X 0 X (a+1)X X aX 0 aX X 0 (a+1)X aX 0 X (a+1)X aX 0 (a+1)X X X (a+1)X X aX aX 0 0 0 0 X 0 (a+1)X 0 X aX (a+1)X (a+1)X X 0 aX 0 aX X aX X 0 aX aX X (a+1)X (a+1)X 0 (a+1)X 0 (a+1)X 0 0 X aX 0 X X aX aX aX 0 aX 0 (a+1)X X 0 aX aX (a+1)X aX aX 0 aX X aX 0 0 aX aX aX X (a+1)X (a+1)X (a+1)X aX 0 aX aX X 0 0 0 0 0 0 X X X (a+1)X X X aX X (a+1)X X X aX 0 aX X X (a+1)X aX 0 X aX (a+1)X 0 (a+1)X aX X 0 aX (a+1)X (a+1)X (a+1)X aX X aX X aX 0 X 0 aX 0 aX (a+1)X X aX X aX X X 0 (a+1)X X X (a+1)X 0 (a+1)X (a+1)X (a+1)X 0 (a+1)X X (a+1)X 0 (a+1)X 0 generates a code of length 70 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 188. Homogenous weight enumerator: w(x)=1x^0+219x^188+360x^192+402x^196+48x^198+372x^200+576x^202+444x^204+2592x^206+375x^208+5184x^210+399x^212+3888x^214+333x^216+279x^220+264x^224+225x^228+198x^232+123x^236+60x^240+18x^244+18x^248+3x^252+3x^264 The gray image is a linear code over GF(4) with n=280, k=7 and d=188. This code was found by Heurico 1.16 in 3.69 seconds.