The generator matrix 1 0 1 1 1 0 1 1 2 1 1 2 1 1 0 1 1 2 1 1 1 1 0 2 2 2 0 0 2 2 0 1 1 1 1 1 1 1 1 0 1 1 0 3 1 2 3 1 2 1 1 0 3 1 2 1 1 0 3 2 1 1 1 0 2 2 0 0 2 2 0 3 0 1 3 1 2 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 2 2 2 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+30x^40+1x^48 The gray image is a code over GF(2) with n=78, k=5 and d=40. This code was found by Heurico 1.16 in 0.0095 seconds.