The generator matrix 1 0 0 1 1 1 6 1 6 1 1 2 1 2 1 2 4 1 1 1 6 0 1 6 1 6 1 2 1 6 1 4 0 0 6 4 1 1 1 1 1 6 1 1 1 1 2 1 4 4 1 1 1 1 1 4 1 1 0 4 1 1 1 1 1 1 0 1 4 0 1 1 0 1 0 0 1 3 1 4 0 4 7 1 3 1 5 2 1 2 2 5 1 0 0 1 3 1 6 1 5 1 3 1 0 1 2 1 7 5 1 0 4 6 2 3 7 0 1 1 0 1 2 1 4 7 6 1 1 2 1 1 6 7 1 1 1 7 1 6 2 2 7 0 0 0 1 1 3 0 3 3 1 2 3 2 2 1 1 1 2 6 3 6 6 1 6 1 0 7 5 2 5 0 3 1 1 3 1 2 6 5 4 7 4 1 4 4 0 3 4 1 1 4 0 0 0 3 2 4 2 1 7 3 7 2 5 3 7 5 7 2 1 1 7 0 0 0 0 2 2 6 4 6 0 0 2 4 2 0 6 0 0 4 6 2 4 0 2 6 4 6 4 2 4 2 0 0 6 6 6 2 4 2 6 6 6 6 2 4 6 4 4 2 2 6 0 6 4 0 2 2 0 4 4 6 0 4 0 0 4 4 0 6 2 2 6 0 0 0 0 0 4 0 0 4 4 4 0 4 4 0 0 4 0 0 0 0 4 0 4 4 4 0 0 0 4 4 0 4 0 0 0 4 4 4 4 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 0 4 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 0 4 0 4 4 0 4 4 0 0 4 4 4 4 0 0 0 0 0 0 0 4 4 0 4 4 0 0 4 0 4 0 0 4 0 4 4 4 0 0 0 0 4 0 4 4 generates a code of length 72 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+78x^64+198x^65+398x^66+492x^67+690x^68+778x^69+656x^70+692x^71+646x^72+660x^73+591x^74+560x^75+535x^76+398x^77+251x^78+216x^79+137x^80+74x^81+79x^82+14x^83+22x^84+4x^85+9x^86+8x^87+2x^88+2x^91+1x^92 The gray image is a code over GF(2) with n=288, k=13 and d=128. This code was found by Heurico 1.16 in 2.7 seconds.