The generator matrix 1 0 0 1 1 1 6 1 2 6 1 1 1 0 1 1 1 0 6 1 1 6 4 0 1 1 2 1 6 4 1 4 0 1 1 1 1 1 2 0 1 1 0 2 1 1 1 1 1 4 2 1 1 1 0 1 1 1 1 1 6 4 1 1 6 1 1 2 2 0 0 1 1 1 2 4 1 1 0 1 0 0 1 3 1 4 4 1 7 0 7 1 2 5 2 1 1 5 6 6 1 1 0 7 2 7 1 1 1 1 4 2 3 0 1 1 1 0 7 0 1 1 6 5 7 2 7 1 1 5 2 6 4 5 1 0 3 7 1 2 7 0 1 2 1 1 1 0 1 6 5 7 1 1 4 4 0 0 1 1 1 0 1 3 1 4 3 0 0 7 5 6 2 5 7 3 6 1 6 0 1 4 1 5 5 6 1 7 1 0 2 1 5 7 1 1 4 7 2 3 3 2 6 6 4 3 5 5 0 6 1 0 3 5 6 4 0 1 5 4 5 2 6 2 3 1 6 7 1 7 4 0 7 2 0 0 0 2 0 0 4 0 4 4 4 4 0 4 4 4 0 4 0 0 4 0 4 6 6 2 6 6 2 2 2 2 2 6 2 0 6 6 2 2 2 2 0 4 2 6 2 2 0 0 2 0 2 6 2 2 4 2 0 0 6 2 6 4 0 2 0 6 0 0 4 0 4 4 2 2 4 2 0 0 0 0 2 4 2 6 6 6 4 2 2 4 4 0 0 2 0 4 2 2 6 6 2 4 2 4 0 0 2 6 4 0 4 4 4 2 6 6 2 0 4 0 2 0 2 0 6 6 2 6 2 2 0 6 6 2 2 0 2 2 0 6 0 6 6 2 4 2 0 0 4 2 4 6 6 2 generates a code of length 78 over Z8 who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+98x^70+304x^71+382x^72+434x^73+760x^74+576x^75+835x^76+550x^77+733x^78+598x^79+693x^80+456x^81+513x^82+292x^83+321x^84+204x^85+173x^86+104x^87+65x^88+46x^89+21x^90+12x^91+4x^92+6x^93+4x^94+2x^95+3x^96+2x^98 The gray image is a code over GF(2) with n=312, k=13 and d=140. This code was found by Heurico 1.16 in 2.94 seconds.