The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 0 0 1 1 1 1 2 2 1 1 1 1 1 0 0 0 0 1 2 1 2 0 0 1 0 0 0 1 1 1 2 0 3 1 1 1 1 1 1 0 1 0 1 1 2 1 1 1 0 2 2 0 1 1 2 2 2 2 1 0 1 1 0 0 1 0 1 1 0 1 0 3 3 2 0 2 3 1 0 1 0 1 2 1 3 1 3 3 1 1 3 2 3 2 0 1 1 3 3 2 0 1 0 0 0 1 1 0 1 1 1 0 1 2 0 3 0 3 2 1 1 2 2 3 3 0 0 3 3 0 2 0 0 1 1 2 3 1 2 3 1 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 0 generates a code of length 40 over Z4 who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+212x^32+380x^34+546x^36+576x^38+710x^40+582x^42+522x^44+326x^46+163x^48+54x^50+20x^52+2x^54+2x^56 The gray image is a code over GF(2) with n=80, k=12 and d=32. This code was found by Heurico 1.16 in 1.59 seconds.