The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 0 1 0 1 1 1 1 0 1 0 1 1 2 1 1 0 2 1 1 0 1 1 2 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 0 0 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 0 2 1 1 2 2 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 1 3 1 0 0 3 3 1 2 1 0 3 1 3 3 1 1 3 3 1 0 0 1 2 1 0 2 3 1 0 0 1 0 3 0 2 1 2 2 3 1 1 0 2 1 3 1 2 2 1 1 0 2 2 0 0 3 3 2 1 1 1 1 2 1 2 3 0 1 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 2 2 2 0 2 2 2 0 0 0 2 0 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 2 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 0 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 2 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 0 0 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 2 0 0 2 0 2 2 2 0 2 2 0 0 2 2 0 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 generates a code of length 86 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+185x^72+92x^74+509x^76+352x^78+811x^80+672x^82+1111x^84+820x^86+1085x^88+700x^90+756x^92+360x^94+409x^96+72x^98+160x^100+4x^102+65x^104+23x^108+3x^112+1x^116+1x^120 The gray image is a code over GF(2) with n=172, k=13 and d=72. This code was found by Heurico 1.16 in 35.5 seconds.