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 2 2 2 4 0 0 0 0 2 4 1 2 2 1 1 1 1 1 4 2 4 2 1 4 1 1 1 0 2 1 2 1 1 1 4 1 2 2 1 4 1 4 1 1 0 2 1 2 1 2 1 1 1 0 2 0 2 0 0 2 6 0 0 2 6 4 6 4 6 0 0 6 2 2 2 0 4 2 2 2 4 0 2 4 2 4 6 2 2 4 2 2 4 6 2 0 4 2 0 2 2 6 0 2 6 2 4 0 2 0 4 2 2 0 2 6 0 6 6 2 6 0 2 0 4 2 2 2 4 2 2 0 6 4 0 6 0 0 0 0 2 2 0 6 2 0 0 6 2 0 4 2 2 0 4 6 0 2 6 4 2 4 2 0 4 4 6 2 2 6 2 4 2 6 2 0 4 2 0 2 4 2 6 0 6 4 0 0 2 4 6 6 2 6 2 2 2 0 2 0 4 4 0 2 4 2 6 6 6 2 2 6 6 0 2 2 6 4 4 6 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 4 0 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 0 0 0 0 4 4 4 0 4 0 0 0 0 4 4 0 4 0 0 4 4 4 0 4 0 4 0 4 4 4 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 0 0 4 4 4 0 4 0 4 4 0 4 4 4 4 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 4 4 0 4 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 4 0 0 4 4 0 0 4 0 0 4 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 4 4 4 0 4 4 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 0 4 0 4 4 0 4 0 0 4 0 0 0 4 0 0 0 0 4 4 4 4 0 0 0 4 4 4 0 0 0 4 0 0 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 4 0 0 0 4 4 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 0 4 0 0 0 0 4 4 4 0 0 4 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 4 0 4 4 4 0 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 0 4 0 4 0 4 0 0 4 0 0 0 4 0 0 4 0 4 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 0 4 0 0 0 0 4 4 0 0 0 0 4 4 4 4 4 4 0 0 4 0 0 4 0 0 0 4 0 0 4 4 4 4 0 4 0 4 4 4 0 4 0 4 0 0 0 0 4 0 0 4 0 4 4 4 0 0 4 0 0 4 0 0 0 0 0 generates a code of length 85 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+72x^68+76x^70+493x^72+16x^73+482x^74+108x^75+986x^76+384x^77+972x^78+1048x^79+1562x^80+2000x^81+1526x^82+2900x^83+2069x^84+3424x^85+1840x^86+2992x^87+1814x^88+1936x^89+1362x^90+1076x^91+1292x^92+416x^93+700x^94+56x^95+603x^96+16x^97+178x^98+12x^99+235x^100+28x^102+65x^104+4x^106+17x^108+6x^112+1x^124 The gray image is a code over GF(2) with n=340, k=15 and d=136. This code was found by Heurico 1.16 in 88.6 seconds.