The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 4 4 1 2 2 1 2 4 1 4 1 2 1 1 4 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 12 8 4 8 12 4 8 4 0 0 12 4 8 8 12 12 12 12 4 0 4 4 12 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 0 4 4 4 0 12 8 4 12 8 0 4 4 4 0 0 0 4 4 0 8 12 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 8 0 8 0 8 0 0 8 8 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 0 0 0 8 0 0 8 8 8 8 0 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 0 8 8 8 8 0 0 0 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 0 0 8 0 8 8 8 8 8 8 8 8 0 0 0 0 8 0 8 0 generates a code of length 38 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+147x^28+266x^30+796x^32+224x^33+1454x^34+1664x^35+3392x^36+4192x^37+8268x^38+4352x^39+3482x^40+1696x^41+1604x^42+128x^43+715x^44+32x^45+170x^46+149x^48+14x^50+18x^52+4x^56 The gray image is a code over GF(2) with n=304, k=15 and d=112. This code was found by Heurico 1.16 in 12.3 seconds.