The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 (a+1)X 1 (a+1)X 1 X 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 0 X 1 1 1 1 1 aX (a+1)X 1 aX 1 (a+1)X 1 aX 1 0 1 1 1 1 1 1 1 1 0 1 1 (a+1)X 1 1 1 0 X (a+1)X 1 X 1 1 0 (a+1)X 1 1 1 aX 1 0 1 1 0 1 0 0 X aX 1 (a+1)X+a a+1 1 (a+1)X+a a+1 (a+1)X+1 (a+1)X+1 1 aX+a 1 aX+a+1 1 a (a+1)X+a+1 aX+1 1 (a+1)X (a+1)X+a X+1 1 aX+a+1 (a+1)X+a+1 0 a X (a+1)X+a+1 X X X+a+1 (a+1)X+a X+a X+1 1 X+a a+1 0 a 1 1 X+1 aX a aX X+a+1 1 0 (a+1)X+1 1 X+a+1 aX (a+1)X+a 1 aX+a+1 X a+1 (a+1)X+a (a+1)X+a+1 X+a X+1 X (a+1)X+1 X+a 1 (a+1)X X+1 1 aX+a+1 (a+1)X+1 X+a+1 1 1 1 (a+1)X+1 0 (a+1)X aX 0 1 aX+a+1 aX X+1 1 X+a aX X+a 1 0 0 1 1 (a+1)X+a (a+1)X+a+1 X+1 aX+1 (a+1)X+1 a+1 aX+a+1 X+a+1 a 0 aX+a aX+a (a+1)X+a+1 (a+1)X+a (a+1)X+1 (a+1)X (a+1)X 1 aX+a+1 1 aX+a+1 aX+a a aX+a (a+1)X+a+1 X 0 (a+1)X+a X+1 a+1 a a X+1 (a+1)X 1 X+a+1 (a+1)X+1 0 (a+1)X+a+1 aX+a 1 (a+1)X X+a (a+1)X+a+1 X+a+1 X+1 (a+1)X aX+a 1 a+1 a+1 X+a+1 1 X+a (a+1)X 1 1 X (a+1)X+a X+a+1 X X+1 0 (a+1)X+a+1 X X+1 (a+1)X+1 X aX+1 aX (a+1)X aX+a+1 X+1 (a+1)X+a+1 0 a+1 1 a (a+1)X+1 1 X+1 aX+a+1 X+a+1 a (a+1)X X+a 1 aX+1 X+a+1 0 0 0 (a+1)X 0 0 (a+1)X (a+1)X (a+1)X 0 0 0 X aX (a+1)X X aX (a+1)X aX X (a+1)X aX aX 0 X aX X 0 X X (a+1)X aX 0 X (a+1)X aX aX 0 X 0 X X aX (a+1)X X (a+1)X (a+1)X (a+1)X aX X aX 0 X (a+1)X X (a+1)X aX aX aX aX (a+1)X 0 0 0 aX (a+1)X X X 0 0 aX X X aX 0 (a+1)X aX (a+1)X X X 0 X aX X (a+1)X X aX 0 0 X (a+1)X aX aX generates a code of length 93 over F4[X,sigma]/(X^2) who´s minimum homogenous weight is 267. Homogenous weight enumerator: w(x)=1x^0+888x^267+519x^268+2508x^271+876x^272+2232x^275+687x^276+2136x^279+636x^280+1764x^283+501x^284+1224x^287+411x^288+804x^291+207x^292+396x^295+204x^296+312x^299+48x^300+24x^303+6x^308 The gray image is a linear code over GF(4) with n=372, k=7 and d=267. This code was found by Heurico 1.16 in 2.12 seconds.