The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 2 1 0 2 1 1 2 1 1 1 1 0 1 1 0 1 0 1 2 1 1 1 1 1 0 1 0 1 1 1 2 1 1 2 2 1 1 1 2 1 1 1 2 1 2 1 2 0 1 2 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 2 3 1 0 1 3 2 1 3 1 1 0 1 0 3 0 1 1 0 1 1 3 0 1 3 1 2 1 1 0 3 1 0 1 1 1 2 3 1 0 3 1 1 1 2 0 2 1 1 3 1 1 2 2 1 1 1 2 3 1 2 1 3 1 1 3 1 0 0 2 0 1 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 0 2 0 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 2 2 2 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 0 0 2 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 2 2 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 generates a code of length 86 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+83x^72+38x^74+259x^76+202x^78+435x^80+316x^82+561x^84+428x^86+506x^88+310x^90+372x^92+202x^94+215x^96+40x^98+68x^100+35x^104+17x^108+5x^112+3x^116 The gray image is a code over GF(2) with n=172, k=12 and d=72. This code was found by Heurico 1.16 in 4.61 seconds.