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 2 2 1 2 2 1 1 2 1 2 1 4 2 1 4 2 1 2 1 4 4 1 4 1 1 8 2 1 4 2 2 8 2 4 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 12 4 12 0 0 12 4 0 12 8 0 4 0 4 0 8 4 0 0 4 12 4 8 4 12 12 8 0 12 0 4 8 4 0 12 8 4 12 12 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 8 0 0 8 12 4 4 12 12 0 4 0 8 4 8 12 4 8 8 8 12 8 12 0 4 0 8 8 12 8 8 4 12 8 0 4 12 12 12 4 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 4 8 4 8 8 12 4 0 0 0 0 4 0 12 12 8 0 12 4 8 0 12 8 12 0 0 0 8 8 0 4 0 12 12 12 12 4 8 12 12 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 8 8 8 8 8 8 0 8 0 8 8 0 0 8 0 0 8 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 0 8 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 0 8 0 8 8 0 0 0 8 0 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 8 8 8 0 8 8 0 8 8 8 8 0 8 0 0 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 8 8 8 0 8 0 8 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 8 8 0 0 0 8 0 8 8 0 8 8 0 8 0 8 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+122x^58+4x^59+388x^60+88x^61+564x^62+296x^63+936x^64+920x^65+1914x^66+1776x^67+2528x^68+1736x^69+1883x^70+920x^71+931x^72+328x^73+446x^74+76x^75+253x^76+150x^78+75x^80+34x^82+6x^84+3x^86+1x^88+4x^90+1x^92 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 8.34 seconds.