The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 0 1 1 0 0 1 1 2 0 2 1 1 1 2 2 1 0 0 2 1 2 2 1 2 1 1 1 1 2 1 1 1 0 1 2 0 0 0 0 2 0 1 1 1 2 2 0 1 1 0 0 0 1 1 0 1 2 2 1 1 1 1 2 1 2 2 2 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 3 1 3 3 1 2 1 0 2 1 1 1 1 1 1 0 2 1 2 1 1 1 1 2 0 1 0 3 2 1 0 1 3 1 1 2 1 2 0 1 1 0 3 3 1 1 1 1 3 2 0 0 0 3 1 0 2 2 1 1 1 1 2 1 3 0 1 0 0 0 0 1 0 0 0 0 0 0 0 1 3 1 0 1 1 1 2 1 2 1 2 3 2 0 1 2 2 3 3 1 3 1 0 3 3 0 1 3 2 2 1 2 0 0 2 3 3 3 2 1 1 1 1 1 2 1 1 3 0 3 1 2 1 2 1 2 2 1 0 1 1 0 3 1 0 0 0 3 0 1 1 0 0 0 0 0 1 0 0 0 1 1 1 3 1 0 2 0 0 1 1 1 1 3 2 2 0 3 2 0 3 1 1 3 2 0 2 2 3 0 1 2 1 1 1 2 2 3 3 0 1 0 2 3 2 2 2 3 0 0 0 0 0 0 1 2 1 1 3 2 0 0 2 1 0 1 2 1 1 3 0 0 1 0 0 2 2 0 0 0 0 1 0 1 1 0 3 2 1 1 3 1 2 2 2 0 0 2 3 0 0 3 0 2 1 1 1 1 1 3 1 3 0 0 1 1 0 3 3 1 0 3 2 3 0 2 0 2 1 0 0 2 3 1 1 0 2 0 0 3 2 1 2 1 1 2 2 2 3 1 0 1 0 2 1 0 0 2 3 1 1 0 0 0 0 0 1 1 2 3 1 0 1 1 1 3 2 2 0 1 3 1 2 1 1 0 1 1 3 0 1 0 2 2 0 2 1 0 3 2 0 3 1 1 3 3 2 2 0 0 2 0 3 0 3 3 0 2 1 1 2 1 0 2 0 0 2 3 1 3 2 3 0 2 3 2 3 1 0 2 2 3 3 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 generates a code of length 84 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+176x^72+450x^74+653x^76+836x^78+807x^80+818x^82+866x^84+808x^86+844x^88+664x^90+553x^92+354x^94+212x^96+84x^98+40x^100+18x^102+7x^104+1x^120 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 13.7 seconds.