The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 1 2 0 1 2 1 1 1 1 0 0 1 1 2 2 1 1 0 2 1 0 2 0 1 0 0 0 1 1 1 0 0 3 3 1 1 0 0 3 3 1 2 0 1 3 0 2 2 1 0 1 2 1 0 3 1 1 2 2 1 1 0 0 1 0 1 1 0 1 0 1 1 2 0 1 1 1 3 0 0 1 1 3 1 2 1 2 1 0 0 2 0 1 2 0 3 2 0 2 0 0 0 0 1 1 0 1 1 1 0 1 0 1 0 3 1 2 3 3 0 1 2 3 2 0 1 1 1 3 2 0 0 0 0 1 1 1 2 3 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+85x^28+110x^29+242x^30+336x^31+492x^32+620x^33+743x^34+918x^35+1145x^36+1248x^37+1376x^38+1568x^39+1371x^40+1448x^41+1197x^42+988x^43+791x^44+574x^45+450x^46+256x^47+183x^48+92x^49+73x^50+30x^51+27x^52+4x^53+12x^54+1x^56+3x^58 The gray image is a code over GF(2) with n=78, k=14 and d=28. This code was found by Heurico 1.16 in 31.1 seconds.