The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 generates a code of length 55 over Z4 who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+30x^54+30x^56+1x^62+1x^78+1x^80 The gray image is a code over GF(2) with n=110, k=6 and d=54. This code was found by Heurico 1.16 in 7.47 seconds.