The generator matrix 1 0 0 1 1 1 2 1 1 0 1 0 1 2 1 1 1 1 0 1 2 0 1 1 1 1 1 2 2 1 1 0 1 1 1 1 0 1 1 0 1 0 0 1 3 1 0 2 0 1 1 3 1 2 2 3 1 1 2 1 1 3 0 0 1 1 1 1 3 3 2 3 0 0 3 1 1 2 0 0 1 1 1 0 1 2 3 1 3 2 2 3 1 2 3 0 0 0 2 2 2 0 3 1 2 2 1 1 1 2 2 3 3 3 3 3 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 0 generates a code of length 39 over Z4 who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+118x^36+92x^40+34x^44+3x^48+8x^52 The gray image is a code over GF(2) with n=78, k=8 and d=36. This code was found by Heurico 1.16 in 1.27 seconds.