The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 0 1 1 0 2 1 1 2 2 1 1 2 0 1 2 1 2 1 1 1 2 0 1 1 1 1 0 1 1 2 0 0 0 0 0 2 1 0 1 1 1 2 1 1 0 2 0 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 1 2 0 1 1 1 1 1 0 1 0 1 0 2 0 3 2 1 3 0 1 2 3 2 0 0 2 3 3 2 0 1 2 1 2 2 2 1 3 2 3 2 1 0 1 0 2 2 2 1 3 0 2 2 0 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 3 0 2 1 3 1 1 0 2 0 0 3 0 0 1 1 2 2 1 2 3 0 1 1 1 0 0 1 1 3 3 0 1 3 0 3 2 1 2 3 0 2 2 0 2 1 3 1 1 1 0 2 0 2 0 0 0 0 0 0 1 0 1 1 0 1 0 1 3 3 2 1 2 0 2 2 1 1 2 0 3 3 1 3 3 2 2 1 1 0 3 2 2 3 0 3 0 1 0 1 0 1 2 1 0 1 1 1 2 3 3 1 3 3 3 1 0 2 2 2 2 0 1 0 1 2 2 2 0 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 1 3 3 0 1 3 2 0 1 2 3 2 0 3 1 1 1 2 0 3 0 1 3 1 1 3 1 0 0 2 3 2 1 1 1 0 1 3 2 2 1 3 3 3 1 2 2 2 1 2 0 3 0 2 1 3 0 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 0 2 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 2 2 0 0 0 2 2 0 0 2 2 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+57x^58+70x^59+209x^60+284x^61+371x^62+448x^63+569x^64+588x^65+632x^66+774x^67+867x^68+920x^69+912x^70+990x^71+1016x^72+1020x^73+858x^74+956x^75+874x^76+820x^77+654x^78+604x^79+597x^80+364x^81+276x^82+214x^83+175x^84+88x^85+60x^86+38x^87+38x^88+12x^89+17x^90+2x^91+3x^92+3x^94+3x^96 The gray image is a code over GF(2) with n=144, k=14 and d=58. This code was found by Heurico 1.16 in 80 seconds.