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 2 2 2 4 1 4 2 1 4 1 4 4 2 1 4 1 1 2 1 1 4 1 4 1 1 1 1 8 1 4 2 2 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 4 8 12 4 4 12 0 12 12 4 12 0 12 8 4 8 12 0 0 0 8 4 8 0 0 0 4 8 8 12 0 8 8 12 8 0 4 4 0 0 0 4 4 8 12 8 8 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 0 8 4 0 0 12 8 4 4 12 0 4 12 8 0 12 4 4 12 8 8 8 4 8 12 12 4 8 4 4 12 0 12 4 0 8 12 8 4 0 0 12 0 4 4 4 12 8 4 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 4 0 0 4 12 0 8 0 4 0 8 4 4 12 4 12 0 0 8 12 12 4 0 4 12 0 12 0 4 4 0 12 12 12 4 8 12 8 8 8 0 8 0 8 4 8 4 12 0 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 8 8 12 4 4 12 12 8 4 12 0 4 0 8 8 0 8 12 0 12 12 4 8 0 12 8 8 12 4 4 8 0 4 12 0 8 4 12 12 4 4 12 12 4 0 12 0 8 12 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 0 8 0 8 8 0 8 8 8 8 0 8 0 0 8 8 8 8 0 0 8 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 8 0 0 8 8 8 8 8 0 8 0 8 8 8 8 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 8 0 8 8 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+108x^58+384x^60+32x^61+559x^62+368x^63+1038x^64+776x^65+1880x^66+1912x^67+2400x^68+1904x^69+2011x^70+736x^71+870x^72+360x^73+432x^74+56x^75+282x^76+163x^78+67x^80+26x^82+13x^84+3x^86+2x^90+1x^100 The gray image is a code over GF(2) with n=544, k=14 and d=232. This code was found by Heurico 1.16 in 8.13 seconds.