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 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 X X X 1 X 1 1 1 1 X 1 1 0 X 0 0 0 0 X X X a*X 0 X a^2*X X a^2*X a^2*X a^2*X a*X X a^2*X 0 a^2*X a*X X 0 a*X X 0 0 a^2*X a^2*X a^2*X a^2*X 0 a*X a*X a*X 0 a^2*X a*X a*X 0 a*X a^2*X 0 a*X X X 0 X X X a*X X 0 X X a^2*X a^2*X X 0 a*X a*X a^2*X a^2*X a*X a*X a*X a^2*X a^2*X X a*X a^2*X 0 a^2*X 0 a*X 0 a*X 0 X X 0 a^2*X 0 0 X X a*X X X 0 a*X 0 a*X X a^2*X 0 0 X 0 0 X a^2*X a*X a*X a*X 0 0 a*X X 0 0 a^2*X 0 a*X a*X a*X a*X a^2*X a^2*X X X 0 a^2*X X a^2*X 0 a^2*X a*X a*X X 0 0 a^2*X 0 0 a*X a*X X a*X X X X X a*X a^2*X a*X a^2*X a^2*X a*X a*X X X 0 a*X 0 a^2*X X a^2*X X X a^2*X a*X a*X X X 0 a*X a*X X X X a*X a*X a^2*X 0 X X X X a*X X a*X X 0 X a*X a^2*X a^2*X X a^2*X a*X a^2*X 0 0 0 X 0 a^2*X 0 X a*X a^2*X X X X X 0 a*X 0 a*X 0 a^2*X a^2*X X X a^2*X a^2*X a^2*X a*X a^2*X 0 a*X a*X a*X a^2*X a*X X a^2*X X X a^2*X a^2*X a*X 0 a^2*X 0 a*X X X 0 a*X 0 a*X a*X a*X 0 X X a*X a^2*X 0 X a^2*X a*X X a^2*X a*X a^2*X X a*X 0 0 a*X a^2*X a^2*X a*X a^2*X X 0 0 0 X a*X a*X X X X X a*X X a*X a^2*X X a*X a^2*X a*X 0 a^2*X 0 0 0 0 0 X X X a^2*X X X X a*X 0 a*X X a^2*X a^2*X a*X a*X 0 a*X a^2*X a^2*X a^2*X a^2*X a^2*X a*X a*X a*X 0 0 X X a*X a^2*X X X 0 a*X a*X a^2*X X X X a*X 0 a^2*X 0 a^2*X a^2*X 0 a*X 0 a^2*X a^2*X X 0 0 a*X 0 0 0 X a^2*X a^2*X a^2*X 0 a*X a*X X 0 0 a*X a^2*X X 0 a*X 0 a*X a*X a^2*X X a*X a*X a*X a^2*X a^2*X a^2*X a^2*X a*X 0 X a*X X 0 0 0 generates a code of length 97 over F4[X]/(X^2) who´s minimum homogenous weight is 276. Homogenous weight enumerator: w(x)=1x^0+108x^276+24x^278+204x^280+228x^282+135x^284+480x^286+159x^288+984x^290+105x^292+936x^294+84x^296+420x^298+48x^300+48x^304+30x^308+18x^312+15x^316+18x^320+15x^324+3x^328+12x^332+6x^336+6x^340+6x^348+3x^360 The gray image is a linear code over GF(4) with n=388, k=6 and d=276. This code was found by Heurico 1.16 in 0.443 seconds.