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 X 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 aX X X X (a+1)X aX aX (a+1)X (a+1)X X aX aX X 0 (a+1)X (a+1)X aX aX X 0 (a+1)X aX (a+1)X (a+1)X aX aX aX aX (a+1)X aX X (a+1)X X (a+1)X (a+1)X X 0 X X aX (a+1)X X aX X X X (a+1)X 0 0 X (a+1)X 0 aX aX (a+1)X X (a+1)X aX (a+1)X 0 0 0 X 0 0 0 0 X X X aX aX (a+1)X X (a+1)X aX (a+1)X X (a+1)X 0 aX 0 0 0 aX (a+1)X (a+1)X X X X (a+1)X 0 aX (a+1)X (a+1)X X (a+1)X X 0 X X (a+1)X 0 0 aX 0 0 X aX (a+1)X (a+1)X 0 aX (a+1)X (a+1)X aX 0 aX 0 (a+1)X aX 0 0 (a+1)X 0 (a+1)X aX X 0 (a+1)X 0 0 0 0 X 0 0 X (a+1)X aX aX aX (a+1)X 0 aX aX aX aX 0 (a+1)X (a+1)X X (a+1)X X 0 0 aX aX aX X aX aX (a+1)X aX (a+1)X 0 (a+1)X X (a+1)X (a+1)X 0 aX 0 X (a+1)X X X X aX X aX aX (a+1)X 0 aX 0 0 X aX (a+1)X (a+1)X 0 X X X X aX X (a+1)X aX 0 0 0 0 0 0 X 0 (a+1)X 0 X aX aX X (a+1)X X 0 aX X (a+1)X 0 X X 0 (a+1)X X aX X aX 0 0 X X (a+1)X (a+1)X (a+1)X X aX (a+1)X (a+1)X aX (a+1)X aX (a+1)X X X X X 0 (a+1)X 0 0 0 aX X X 0 0 aX aX 0 X (a+1)X X X 0 0 X aX (a+1)X aX X 0 0 0 0 0 0 X X X (a+1)X X 0 0 aX X X aX aX 0 X aX (a+1)X (a+1)X (a+1)X (a+1)X (a+1)X aX (a+1)X (a+1)X X (a+1)X (a+1)X (a+1)X aX X X 0 0 (a+1)X 0 (a+1)X X X (a+1)X X (a+1)X aX X X 0 (a+1)X X X 0 X X aX aX X X X aX 0 0 0 X (a+1)X X X aX aX 0 generates a code of length 71 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 188. Homogenous weight enumerator: w(x)=1x^0+66x^188+243x^192+351x^196+480x^200+561x^204+2136x^208+5529x^212+5547x^216+306x^220+321x^224+234x^228+228x^232+174x^236+108x^240+66x^244+18x^248+9x^252+3x^264+3x^272 The gray image is a linear code over GF(4) with n=284, k=7 and d=188. This code was found by Heurico 1.16 in 3.24 seconds.