The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 1 0 0 2 2 0 2 1 0 0 0 2 1 0 1 2 2 2 0 1 1 2 1 0 1 1 2 0 0 2 1 1 1 0 2 0 1 2 0 1 0 1 0 0 1 0 1 2 0 1 1 0 0 1 2 2 0 2 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 2 2 2 0 2 0 2 1 1 1 3 1 1 1 1 3 3 3 1 1 1 3 1 1 1 1 3 1 1 1 1 3 2 1 0 1 2 1 1 1 1 0 1 1 0 1 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 0 3 1 1 0 2 0 1 3 1 1 2 1 3 2 0 0 1 2 1 3 2 0 2 1 2 1 0 0 1 0 1 3 2 2 2 0 1 2 1 1 1 2 0 3 0 1 2 0 3 2 2 1 2 2 0 3 1 3 0 2 2 1 3 1 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 2 2 1 3 2 0 0 1 1 3 0 3 3 1 2 3 0 0 1 2 1 3 0 3 2 0 0 2 3 1 2 1 1 2 2 2 1 2 2 2 1 2 1 3 1 0 1 3 3 0 2 2 1 1 2 3 1 1 0 1 2 3 2 0 3 1 0 0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 3 1 3 3 1 0 3 2 1 2 1 2 1 2 2 1 0 0 1 2 3 1 2 0 3 2 2 3 3 2 0 3 2 0 3 0 0 3 1 2 1 2 1 0 3 1 0 3 1 1 0 1 1 0 1 1 3 2 0 3 0 1 1 3 2 3 0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 3 1 3 2 3 0 2 1 3 3 2 2 0 2 3 2 2 0 3 1 0 3 2 3 1 1 1 3 3 2 3 2 3 2 3 2 2 2 1 3 3 0 1 2 1 1 0 3 1 2 2 1 0 3 1 2 0 1 0 1 2 1 2 2 0 0 0 0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 3 1 1 2 1 1 0 3 3 3 0 1 1 1 2 2 2 3 2 2 1 2 0 0 2 1 3 2 3 0 1 2 1 2 1 0 1 1 1 1 1 1 0 0 3 2 3 0 0 3 0 2 0 2 0 0 0 0 1 1 2 1 1 0 1 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 2 2 0 0 2 0 0 2 2 0 0 generates a code of length 87 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+227x^72+710x^74+1360x^76+1816x^78+2349x^80+2886x^82+3347x^84+3540x^86+3752x^88+3482x^90+2952x^92+2524x^94+1783x^96+1006x^98+611x^100+264x^102+117x^104+28x^106+10x^108+2x^112+1x^144 The gray image is a code over GF(2) with n=174, k=15 and d=72. This code was found by Heurico 1.10 in 161 seconds.