The generator matrix 1 0 0 1 1 1 2 1 1 0 1 1 2 1 0 1 2 1 1 2 1 1 0 2 0 1 1 0 2 0 1 0 0 1 3 1 2 2 2 0 2 2 1 1 3 1 2 3 1 0 1 0 0 1 1 3 1 1 0 0 1 1 3 0 1 2 1 1 2 3 1 1 2 2 3 2 3 2 3 2 1 2 2 1 2 3 3 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 generates a code of length 29 over Z4 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+105x^28+7x^32+14x^36+1x^44 The gray image is a code over GF(2) with n=58, k=7 and d=28. This code was found by Heurico 1.16 in 0.135 seconds.