The generator matrix 1 0 0 1 1 1 1 1 1 1 1 a^2*X 1 1 1 1 1 1 0 1 a*X 1 1 1 1 a*X X 1 1 1 a^2*X 1 1 1 1 1 1 a^2*X 1 0 1 1 0 a^2*X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 1 a^2*X 1 1 1 1 1 1 a^2*X X X X 0 a^2*X a^2*X 1 1 1 1 1 1 1 a^2*X 1 a^2*X 1 1 1 0 1 0 0 X a^2*X 1 a^2*X+a a^2 1 a 1 a^2*X+1 a^2*X+1 X+a^2 a^2*X+a X+a^2 a 1 a^2*X+a^2 1 a^2*X+a^2 X a^2*X a*X+1 1 a^2*X 1 X+1 a*X+a^2 1 a^2*X X a^2*X a^2*X+a a a^2 1 a^2*X+1 1 a^2*X+a a^2*X+a^2 1 1 a*X+a X+1 X+1 a^2*X+a^2 a*X+1 a*X 1 a^2*X X+a^2 a a*X a 1 a*X+a a^2*X+a a*X+a X+a^2 1 a^2 X a^2*X a*X+a^2 1 a^2 X+1 a^2*X+1 a*X a*X+a a^2*X+a 1 1 a^2*X 1 1 0 X X a a^2*X+a^2 X+1 X+1 X a^2*X a^2*X a*X+a^2 1 X+a^2 1 X+a 0 0 1 1 a^2*X+a a^2 X+1 a^2*X+1 a*X+1 a^2 0 a*X+1 a X a^2*X a^2*X+a^2 X+a^2 a*X+a a a^2*X+a a*X+a^2 a*X+a a^2*X X+a^2 a a*X+1 1 X+a^2 a^2*X+1 a*X a^2*X a^2*X+a a*X+1 X+a X+1 a^2*X a^2*X+a^2 X+a^2 a*X a^2*X+1 a*X+a 1 X+a^2 0 a*X+1 a^2*X+a^2 1 a^2*X X+a a*X a^2*X a^2 a^2*X+1 a^2 X+1 a^2 a*X 0 a*X+a a^2 X a*X X+a^2 1 1 X+1 a^2*X+a a^2*X+a X X+a^2 a*X+a a a*X X a^2 1 1 a*X+a 1 1 a*X+a^2 0 a^2*X+a^2 a*X+a X+a^2 a*X a^2*X+1 1 a*X+a^2 a*X+a X a^2*X+a^2 a^2*X 0 0 0 a^2*X 0 0 a^2*X a^2*X a^2*X X a*X X 0 a*X a*X X X a^2*X X a^2*X a*X X a^2*X a^2*X a^2*X a^2*X a^2*X a*X a*X a^2*X a^2*X a*X a*X X a*X X 0 0 X a*X a*X a*X a^2*X a*X 0 a^2*X 0 0 a*X a*X 0 a*X 0 0 0 a^2*X X a^2*X 0 a*X 0 a^2*X a*X X X X 0 0 X 0 a^2*X X 0 X X X a^2*X a^2*X a^2*X 0 a*X X a^2*X a*X a^2*X 0 X 0 a^2*X 0 a*X 0 a^2*X generates a code of length 93 over F4[X]/(X^2) who´s minimum homogenous weight is 267. Homogenous weight enumerator: w(x)=1x^0+936x^267+522x^268+2256x^271+807x^272+2568x^275+747x^276+2220x^279+657x^280+1560x^283+441x^284+1140x^287+450x^288+708x^291+321x^292+624x^295+99x^296+228x^299+33x^300+48x^303+18x^304 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 1.64 seconds.