The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 2 1 0 1 4 2 4 2 2 2 1 2 1 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 8 4 0 8 4 12 12 0 12 12 12 4 8 8 4 4 0 0 8 4 0 12 8 0 0 0 12 0 0 0 4 12 4 4 12 0 4 8 0 0 12 12 12 12 8 4 4 4 0 12 4 4 4 8 12 0 4 8 12 4 4 0 0 0 0 12 0 4 4 12 0 8 12 4 12 12 8 0 12 8 8 12 4 12 4 4 0 0 0 8 8 4 0 12 12 4 0 8 4 0 0 0 0 0 12 4 0 12 4 12 8 12 12 8 12 4 0 12 8 0 4 0 8 0 12 4 8 0 0 0 8 8 4 0 4 12 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 8 8 0 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 0 0 0 0 8 8 8 0 8 0 0 0 8 0 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 8 8 0 8 8 0 0 8 8 0 0 0 8 8 8 0 0 0 generates a code of length 38 over Z16 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+26x^28+124x^29+190x^30+264x^31+470x^32+550x^33+842x^34+1462x^35+3077x^36+5758x^37+7139x^38+5790x^39+3155x^40+1522x^41+886x^42+586x^43+366x^44+222x^45+142x^46+82x^47+67x^48+16x^49+16x^50+8x^51+3x^52+1x^54+3x^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 12.5 seconds.