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 1 1 1 1 1 1 1 1 2 2 2 1 1 2 2 1 2 1 0 2 1 1 1 1 0 2 2 0 2 2 2 0 0 0 0 2 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 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 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 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 2 generates a code of length 74 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+93x^72+30x^80+3x^88+1x^112 The gray image is a code over GF(2) with n=148, k=7 and d=72. This code was found by Heurico 1.16 in 66.1 seconds.