The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 0 2 2 2 2 2 2 0 2 1 0 1 1 0 1 1 1 1 0 1 1 0 1 2 1 1 2 0 0 0 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 2 2 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 0 2 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 0 0 2 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 0 0 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 2 2 0 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 0 2 2 generates a code of length 90 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+186x^76+18x^78+330x^80+82x^82+487x^84+224x^86+591x^88+372x^90+559x^92+226x^94+420x^96+90x^98+263x^100+12x^102+144x^104+63x^108+17x^112+10x^116+1x^136 The gray image is a code over GF(2) with n=180, k=12 and d=76. This code was found by Heurico 1.16 in 14.8 seconds.