The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 a^2*X X 1 1 a*X 1 1 1 1 1 1 1 a*X 1 1 1 1 1 1 0 1 1 1 1 1 X 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 a^2*X 1 0 X 1 1 a^2*X X 1 1 1 1 1 a^2*X 1 0 1 1 1 1 a*X 1 1 X 1 a*X 1 1 1 1 1 a^2*X 1 1 1 0 1 0 0 X a^2*X 1 a^2*X+a a^2 a^2*X+1 a*X+1 a*X+a X+1 X+a 1 1 a^2*X+a^2 a*X+a^2 1 a^2*X+a a^2 a^2*X a*X+a a*X+a^2 0 a^2*X 1 a^2*X+1 a*X+a a^2*X+a a^2*X+a^2 a*X+a X+a^2 X a*X+1 X+1 a^2*X+a^2 X+a a*X+a^2 1 a^2*X+1 1 X X+1 1 a^2*X a 0 X a^2*X+1 1 X a^2*X 1 X a^2*X+a^2 1 a*X+a 1 1 a*X+a a 1 X a^2 X 0 a^2*X+1 a^2*X+a^2 1 a*X+a^2 1 a*X+1 a^2*X+a^2 a^2 X+a 1 a^2*X X+a 1 X+1 1 X a*X 0 a^2 X 1 1 a a^2*X+a^2 0 0 1 1 a^2*X+a a^2 X+a^2 a^2*X+a^2 a*X+a^2 X+a 1 a*X+a X a^2*X a^2*X+a^2 a*X+a a*X a X+1 X+1 a^2*X+1 1 a^2*X+1 a*X+1 X a a^2*X+1 a*X X+a^2 X+a a^2*X+a^2 0 a*X 1 X+a X+1 X a^2*X+a a*X+a a X+1 a^2 a^2 a*X a^2*X a^2*X a^2*X+1 X+1 1 a*X+a a^2*X a^2*X+a^2 a*X a^2 a a^2*X+a^2 X+a^2 X+a a*X a*X+a a*X a^2 a^2*X+1 1 a^2*X+a X a^2*X+a X+a^2 a^2*X+1 a^2*X X a^2*X+a a*X+1 a*X+a^2 X+a^2 X+a^2 a^2*X+a^2 X 1 a*X+a^2 a^2*X X a*X+1 a*X+a^2 a^2 a a^2*X+a^2 a*X+a^2 a*X 1 1 0 0 0 a^2*X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 a^2*X a^2*X a*X a*X a*X a*X a^2*X a^2*X a*X X X a*X a^2*X a^2*X X a*X a*X X a*X a^2*X a*X X a*X a^2*X X a*X X X X a*X X a^2*X a*X X X X a^2*X a*X a^2*X a^2*X X a*X a*X a*X X X a^2*X 0 a^2*X X X a*X a^2*X a^2*X a^2*X X a^2*X a^2*X 0 0 X 0 a^2*X 0 X 0 a*X a^2*X a^2*X X a^2*X a*X generates a code of length 91 over F4[X]/(X^2) who´s minimum homogenous weight is 261. Homogenous weight enumerator: w(x)=1x^0+528x^261+852x^262+348x^263+45x^264+1416x^265+1296x^266+480x^267+45x^268+1416x^269+1284x^270+420x^271+45x^272+1056x^273+1236x^274+444x^275+42x^276+852x^277+984x^278+216x^279+39x^280+624x^281+492x^282+204x^283+21x^284+492x^285+408x^286+120x^287+6x^288+396x^289+288x^290+72x^291+12x^292+120x^293+72x^294+12x^297 The gray image is a linear code over GF(4) with n=364, k=7 and d=261. This code was found by Heurico 1.16 in 4.26 seconds.