The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 1 2 2 0 1 0 1 2 0 2 2 2 0 1 1 1 1 2 1 0 1 1 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 3 2 1 1 1 0 2 1 1 1 2 0 1 2 2 2 1 1 3 0 2 3 2 2 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 3 1 3 1 1 3 2 2 3 2 0 3 1 3 2 3 0 1 3 0 0 0 0 1 0 0 0 0 0 1 1 1 3 2 2 0 1 0 1 0 1 3 2 0 3 0 2 3 0 3 2 2 2 1 2 1 0 1 3 0 0 0 0 0 1 0 0 0 1 0 2 0 3 3 1 0 3 0 1 2 3 1 0 0 3 3 2 1 1 2 3 1 1 0 1 3 1 3 3 0 0 0 0 0 0 1 0 0 1 2 3 3 1 0 1 2 2 0 1 3 2 3 0 1 3 3 3 0 2 0 1 0 3 1 1 1 3 0 1 0 0 0 0 0 0 0 1 0 1 3 2 1 2 1 2 1 2 2 1 2 3 2 3 3 1 2 3 3 2 0 0 2 0 2 0 0 0 3 3 0 0 0 0 0 0 0 0 1 2 1 2 2 3 2 1 1 0 1 3 1 2 2 0 1 0 1 3 0 3 2 2 0 1 1 1 3 2 3 2 1 generates a code of length 40 over Z4 who´s minimum homogenous weight is 27. Homogenous weight enumerator: w(x)=1x^0+54x^27+151x^28+328x^29+577x^30+940x^31+1343x^32+1696x^33+2278x^34+3006x^35+3754x^36+4664x^37+5199x^38+5528x^39+5955x^40+5720x^41+5301x^42+4798x^43+3950x^44+3164x^45+2491x^46+1784x^47+1070x^48+724x^49+492x^50+254x^51+150x^52+84x^53+45x^54+20x^55+7x^56+4x^57+1x^58+3x^60 The gray image is a code over GF(2) with n=80, k=16 and d=27. This code was found by Heurico 1.10 in 116 seconds.