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 2 1 2 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 2 1 2 2 2 2 1 2 2 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 0 2 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 0 0 0 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 0 2 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 2 2 2 2 0 2 2 0 0 2 0 2 0 0 0 0 2 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 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 0 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 2 2 2 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 2 0 0 0 2 0 0 0 2 2 0 0 2 2 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 generates a code of length 79 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+163x^60+463x^64+828x^68+44x^70+1245x^72+660x^74+2576x^76+1848x^78+3220x^80+1320x^82+1844x^84+220x^86+1020x^88+4x^90+571x^92+244x^96+96x^100+14x^104+2x^108+1x^136 The gray image is a code over GF(2) with n=158, k=14 and d=60. This code was found by Heurico 1.16 in 78.5 seconds.