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 2 2 2 2 0 1 2 2 2 2 1 2 2 2 1 0 0 0 2 1 2 1 1 1 1 2 2 2 0 1 2 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 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 2 0 0 0 0 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 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 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 2 0 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 0 0 0 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 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 0 2 2 2 2 2 2 0 2 2 0 0 2 2 2 0 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 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 0 2 0 0 0 2 2 2 2 0 2 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 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 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 0 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 2 0 0 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 2 2 2 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 2 2 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 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 0 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 0 0 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 2 0 2 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 generates a code of length 86 over Z4 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+175x^72+20x^74+304x^76+106x^78+485x^80+234x^82+631x^84+292x^86+580x^88+264x^90+425x^92+82x^94+264x^96+26x^98+121x^100+57x^104+23x^108+5x^112+1x^128 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 6.41 seconds.