The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 1 1 0 1 0 0 1 2 0 1 0 1 0 1 1 1 0 1 1 1 2 0 0 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 0 1 0 0 2 3 1 1 2 0 1 0 2 1 1 3 2 0 1 1 3 0 2 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 3 1 3 1 0 0 2 2 0 1 1 1 0 1 2 1 1 3 2 1 1 0 1 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 3 2 0 0 2 2 1 1 0 0 3 1 1 0 3 3 0 3 2 3 2 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 2 0 2 0 generates a code of length 40 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+53x^28+68x^29+194x^30+244x^31+330x^32+464x^33+612x^34+752x^35+958x^36+1096x^37+1244x^38+1400x^39+1401x^40+1488x^41+1224x^42+1200x^43+998x^44+772x^45+666x^46+436x^47+289x^48+192x^49+132x^50+64x^51+54x^52+16x^53+24x^54+11x^56+1x^60 The gray image is a code over GF(2) with n=80, k=14 and d=28. This code was found by Heurico 1.16 in 31.4 seconds.