The generator matrix 1 0 1 1 1 1 1 1 1 0 1 0 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a a+1 1 0 1 2a+3 a 0 0 0 0 2a+2 0 0 0 0 2 2 2 2a 2a 0 2 2a+2 0 0 0 0 2 0 0 2 2a+2 2a+2 0 2a+2 2a 2a 2a+2 2a+2 0 0 0 0 0 2a+2 0 2a 0 2a 2a 2a 2a 2a 2a 0 2 0 0 0 0 0 2 2a 2 0 2a+2 2a+2 2a 2 2a+2 2a 2a+2 generates a code of length 16 over GR(16,4) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+72x^32+12x^33+336x^36+180x^37+576x^39+444x^40+1080x^41+768x^42+5184x^43+612x^44+3240x^45+4608x^46+15552x^47+876x^48+4860x^49+6912x^50+15552x^51+984x^52+2916x^53+540x^56+180x^60+51x^64 The gray image is a code over GF(4) with n=64, k=8 and d=32. This code was found by Heurico 1.16 in 2.77 seconds.