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 2 0 0 2 1 2 1 4 0 2 1 1 1 2 1 1 2 4 4 1 2 1 1 2 4 0 1 1 0 1 1 2 0 1 2 4 1 1 2 0 2 0 0 0 2 6 2 0 4 0 2 0 6 2 4 2 2 4 0 2 6 6 4 6 2 6 4 0 0 2 6 4 2 6 0 0 4 2 6 2 0 4 4 4 4 2 2 0 2 4 0 6 0 6 2 0 2 6 0 6 2 2 4 2 4 4 4 2 0 6 4 6 2 2 4 4 6 0 0 2 0 2 2 6 0 0 0 2 4 2 2 4 6 2 2 0 6 0 6 0 4 2 4 4 6 6 0 6 4 4 2 2 0 0 4 6 0 4 2 6 6 2 6 4 2 4 2 4 0 2 2 2 2 4 4 4 6 2 0 4 4 4 0 2 2 4 2 4 2 2 6 6 4 6 0 0 0 0 2 2 0 6 2 0 2 4 0 6 2 2 4 0 0 2 2 6 6 0 4 4 4 2 2 4 0 4 0 2 6 2 0 2 2 0 0 0 4 6 6 0 4 6 6 2 0 6 4 6 2 0 4 2 2 2 4 4 4 0 2 4 2 6 6 0 4 2 4 0 0 2 4 4 0 0 0 0 0 4 0 0 0 4 4 4 0 0 0 0 0 0 4 4 0 0 4 4 4 0 4 0 4 4 0 4 4 0 4 0 0 4 0 0 4 4 0 0 0 4 0 4 0 4 0 4 0 0 4 4 0 4 4 4 4 0 0 4 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 0 0 0 0 0 4 0 0 4 0 4 4 4 4 0 4 0 0 0 4 0 0 4 0 0 4 4 4 4 4 4 0 0 4 0 4 0 4 4 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 0 4 0 4 4 4 0 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 0 0 0 0 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 4 0 4 4 4 4 4 0 0 0 0 4 4 0 4 0 4 4 4 0 4 4 0 0 0 0 4 4 0 4 0 0 4 0 4 4 4 4 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 4 4 0 4 0 0 4 4 4 4 0 4 0 4 0 0 4 0 0 0 4 0 0 4 4 0 4 4 4 0 4 0 4 4 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 4 0 4 0 4 0 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+199x^68+4x^69+380x^70+64x^71+552x^72+200x^73+700x^74+316x^75+900x^76+428x^77+882x^78+460x^79+851x^80+324x^81+636x^82+180x^83+449x^84+64x^85+242x^86+4x^87+186x^88+4x^89+78x^90+52x^92+24x^94+9x^96+2x^98+1x^112 The gray image is a code over GF(2) with n=312, k=13 and d=136. This code was found by Heurico 1.16 in 23.6 seconds.