The generator matrix 1 0 0 0 1 1 1 1 6 1 1 1 6 0 2 1 1 1 1 2 4 4 0 6 2 6 2 0 2 4 1 1 1 4 1 6 6 1 1 2 1 4 0 1 1 1 4 1 4 1 1 1 0 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 3 6 0 1 1 0 1 1 1 1 2 6 4 4 2 0 4 1 6 1 1 1 1 2 1 0 3 6 1 1 3 1 1 2 2 1 3 1 0 7 3 6 1 2 4 3 2 5 4 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 3 2 3 1 1 0 0 1 1 2 2 4 2 1 2 0 1 4 3 1 5 1 1 1 7 6 1 4 2 0 7 7 5 7 6 6 6 5 1 3 1 5 4 2 0 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 6 0 3 1 0 1 3 2 3 1 3 5 3 2 1 4 1 7 0 3 7 3 0 2 5 1 7 0 1 7 1 0 2 5 4 6 1 1 7 5 1 4 2 7 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 0 4 4 4 0 0 4 4 4 4 0 4 0 0 4 0 4 4 0 0 0 0 4 4 4 4 0 4 0 0 4 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 0 4 0 0 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 4 4 4 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 0 4 4 0 0 4 0 4 4 4 0 0 4 4 4 0 0 4 0 0 4 4 4 4 4 0 4 0 0 4 0 0 4 0 4 0 0 0 0 0 4 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 0 0 4 4 4 4 4 0 0 4 4 0 4 0 0 0 0 4 0 0 4 4 0 4 0 0 0 0 4 4 0 0 4 4 0 0 4 4 4 4 0 0 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 68 over Z8 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+22x^44+52x^45+124x^46+168x^47+245x^48+280x^49+508x^50+752x^51+711x^52+796x^53+886x^54+876x^55+774x^56+616x^57+604x^58+568x^59+1000x^60+940x^61+1678x^62+1748x^63+3396x^64+3196x^65+5124x^66+4244x^67+6495x^68+4404x^69+5446x^70+3320x^71+3403x^72+1752x^73+1702x^74+812x^75+796x^76+580x^77+674x^78+628x^79+791x^80+908x^81+888x^82+852x^83+761x^84+640x^85+424x^86+332x^87+241x^88+160x^89+91x^90+36x^91+46x^92+12x^93+24x^94+5x^96+2x^98+1x^100+1x^106 The gray image is a code over GF(2) with n=272, k=16 and d=88. This code was found by Heurico 1.16 in 99.5 seconds.