The generator matrix 1 0 1 1 1 6 1 1 12 1 1 10 1 6 1 1 0 1 1 12 1 10 1 1 0 1 1 1 6 1 1 1 1 1 1 12 1 1 10 0 1 6 10 1 1 1 1 1 12 1 0 1 1 1 10 1 0 6 2 1 1 0 1 1 1 1 1 0 1 3 6 5 1 12 7 1 10 9 1 6 1 3 0 1 5 15 1 12 1 9 10 1 3 0 5 1 6 10 12 15 9 6 1 0 3 1 1 5 1 1 9 12 15 10 6 1 15 1 5 6 3 1 5 1 1 0 10 15 2 3 3 3 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 0 0 8 0 8 8 0 0 0 8 0 8 0 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 0 8 8 0 0 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 0 0 0 0 0 8 8 8 0 8 8 8 8 0 0 8 8 0 0 0 8 0 8 0 0 8 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 0 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 8 0 0 8 8 8 0 0 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 8 8 8 8 8 0 8 8 0 0 8 8 0 8 0 8 8 0 8 8 8 0 8 0 8 0 8 0 8 0 8 8 8 0 0 8 0 8 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 8 0 8 8 0 0 0 0 8 8 8 0 0 8 0 8 8 8 8 8 8 0 0 0 8 0 0 0 8 8 8 0 8 0 8 0 8 0 8 0 8 0 0 8 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 0 8 8 8 8 8 0 0 0 8 8 0 0 0 0 8 0 8 8 8 8 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 0 0 0 8 8 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 8 8 0 8 8 8 8 8 8 0 8 0 0 0 8 8 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 8 0 0 8 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 8 0 0 8 0 0 0 0 0 8 8 0 8 8 0 0 generates a code of length 67 over Z16 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+24x^54+4x^55+85x^56+54x^57+151x^58+240x^59+519x^60+868x^61+1878x^62+2812x^63+5742x^64+6260x^65+10075x^66+8210x^67+10024x^68+6224x^69+5783x^70+2852x^71+1884x^72+870x^73+412x^74+204x^75+119x^76+60x^77+68x^78+12x^79+43x^80+31x^82+2x^83+10x^84+7x^86+5x^88+3x^90 The gray image is a code over GF(2) with n=536, k=16 and d=216. This code was found by Heurico 1.16 in 51.5 seconds.