The generator matrix 1 0 0 0 0 1 1 1 1 1 1 6 6 6 1 2 1 1 2 6 1 6 1 6 4 0 2 1 6 1 1 1 4 4 0 1 1 0 1 1 1 6 6 0 1 2 2 6 1 6 2 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 1 0 3 2 5 4 1 1 6 5 1 7 3 2 2 0 1 5 1 4 2 1 2 1 0 3 0 2 1 1 6 0 6 6 3 7 4 0 1 6 6 1 1 0 1 1 2 7 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 3 0 5 4 3 1 0 3 2 4 6 4 4 7 1 2 1 1 2 4 5 1 7 3 6 1 6 1 4 0 6 5 6 2 1 0 7 1 2 5 5 5 7 2 3 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 3 1 2 2 3 7 6 0 4 1 3 3 1 1 2 5 0 6 1 3 5 1 2 5 2 2 1 2 0 0 1 4 1 3 3 1 1 1 7 7 1 7 5 7 6 1 6 6 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 5 2 0 1 3 3 7 5 6 4 1 6 7 4 7 5 0 3 7 4 6 6 6 2 3 7 0 2 5 7 5 1 7 0 3 3 7 4 2 2 0 0 4 0 6 1 0 1 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 0 4 0 4 4 4 0 4 0 4 4 0 0 4 4 0 0 0 4 4 4 0 4 0 0 4 0 4 4 4 4 4 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 0 0 generates a code of length 69 over Z8 who´s minimum homogenous weight is 45. Homogenous weight enumerator: w(x)=1x^0+32x^45+100x^46+160x^47+271x^48+332x^49+484x^50+744x^51+741x^52+788x^53+904x^54+840x^55+779x^56+648x^57+462x^58+440x^59+549x^60+684x^61+958x^62+1612x^63+2273x^64+2912x^65+3770x^66+4456x^67+5194x^68+5372x^69+4932x^70+4536x^71+3898x^72+3084x^73+2192x^74+1452x^75+918x^76+652x^77+568x^78+460x^79+564x^80+684x^81+704x^82+840x^83+875x^84+828x^85+726x^86+676x^87+559x^88+332x^89+252x^90+156x^91+64x^92+36x^93+12x^94+12x^95+15x^96+2x^100+1x^108 The gray image is a code over GF(2) with n=276, k=16 and d=90. This code was found by Heurico 1.16 in 98.5 seconds.