The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 1 1 1 1 1 1 1 0 0 1 2 1 0 1 1 0 0 2 0 0 0 1 1 1 2 1 1 1 2 1 0 1 1 1 1 1 0 2 1 2 1 0 1 2 1 1 1 0 1 1 2 2 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 2 3 1 1 1 1 0 3 1 2 0 1 1 0 3 1 0 2 1 2 1 1 0 1 2 1 1 2 2 1 3 1 2 1 1 1 1 2 0 1 2 0 2 3 1 2 1 1 2 2 1 3 2 1 2 1 2 2 1 1 0 0 2 1 2 3 0 2 2 1 2 0 0 0 2 0 0 1 0 1 1 0 1 0 1 1 2 0 0 1 1 1 1 0 1 2 3 2 2 3 1 0 2 3 1 3 3 1 1 1 1 2 1 0 0 2 0 3 0 0 1 2 1 3 2 0 3 1 1 1 0 0 3 3 0 2 1 0 2 1 2 1 2 3 2 0 3 2 3 2 1 1 2 1 1 2 1 1 1 0 0 0 1 1 0 1 1 1 0 3 0 2 1 2 1 3 3 3 0 3 2 1 3 2 1 0 0 2 2 3 1 2 0 0 0 3 3 3 0 3 1 3 3 2 3 3 0 3 1 1 1 2 3 1 2 3 2 2 2 0 3 2 0 2 2 2 1 3 3 2 3 3 0 0 3 1 2 1 3 0 3 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 0 2 0 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 0 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 2 0 0 0 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 generates a code of length 84 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+204x^72+436x^74+650x^76+724x^78+888x^80+820x^82+934x^84+784x^86+818x^88+668x^90+608x^92+308x^94+167x^96+92x^98+62x^100+8x^102+18x^104+2x^108 The gray image is a code over GF(2) with n=168, k=13 and d=72. This code was found by Heurico 1.16 in 14.9 seconds.