The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 2 2 1 0 1 0 1 1 2 1 1 1 1 1 1 0 0 1 1 2 2 2 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 1 1 1 2 1 3 0 0 3 1 1 0 2 2 3 0 2 2 2 3 2 1 1 0 0 0 1 1 1 0 1 0 1 1 0 2 1 1 0 3 1 3 1 0 0 1 2 3 2 1 2 1 1 0 0 1 1 2 2 1 1 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 0 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+101x^28+30x^29+117x^30+162x^31+330x^32+282x^33+376x^34+470x^35+525x^36+708x^37+580x^38+780x^39+607x^40+716x^41+568x^42+484x^43+375x^44+286x^45+299x^46+146x^47+101x^48+26x^49+96x^50+6x^51+7x^52+11x^54+1x^56+1x^70 The gray image is a code over GF(2) with n=78, k=13 and d=28. This code was found by Heurico 1.16 in 4.59 seconds.