The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 0 X 1 1 aX 1 1 aX 1 1 1 1 1 1 aX aX 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 a (a+1)X+a+1 0 (a+1)X+1 a (a+1)X+a+1 1 X+a X (a+1)X+1 aX+a+1 1 X 1 X+a aX+a+1 1 0 X (a+1)X+1 aX+1 aX+1 a X+a aX+a+1 X+a+1 X+a+1 1 1 aX aX+a 1 aX aX+a 1 aX+1 (a+1)X+a+1 aX 1 aX+a X+a+1 1 1 1 1 0 X aX (a+1)X+1 1 aX+1 a X+a aX+a (a+1)X+a+1 aX+a+1 X+a+1 (a+1)X (a+1)X (a+1)X (a+1)X X+1 X+1 X+1 0 0 0 (a+1)X X aX X 0 (a+1)X 0 aX aX (a+1)X aX X X aX X 0 (a+1)X (a+1)X aX X X (a+1)X 0 aX (a+1)X aX 0 X (a+1)X 0 (a+1)X 0 X 0 X aX aX (a+1)X X 0 (a+1)X aX (a+1)X 0 X aX (a+1)X 0 aX (a+1)X aX X 0 X aX X 0 (a+1)X (a+1)X aX X 0 0 X aX 0 generates a code of length 68 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 200. Homogenous weight enumerator: w(x)=1x^0+117x^200+48x^201+144x^203+465x^204+144x^205+48x^207+9x^208+3x^212+36x^216+9x^224 The gray image is a linear code over GF(4) with n=272, k=5 and d=200. This code was found by Heurico 1.16 in 0.047 seconds.