The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 1 0 1 0 1 2 2 1 1 2 0 1 1 1 0 0 2 1 0 1 2 1 1 1 2 1 0 1 1 1 2 1 1 0 2 1 1 1 1 1 1 0 1 1 2 1 1 0 0 1 0 2 2 1 1 0 2 2 1 1 1 2 2 2 1 2 0 1 0 0 1 1 1 0 0 1 3 1 1 2 0 2 0 3 1 1 3 1 1 1 2 1 2 1 0 0 3 1 2 1 2 1 1 1 1 1 2 0 2 0 2 3 1 1 0 1 0 1 3 3 0 0 0 1 0 2 1 1 1 2 2 2 1 0 0 1 1 0 0 0 2 1 1 3 0 0 0 1 1 1 0 1 0 1 3 0 2 3 2 1 1 1 3 2 1 2 0 3 3 0 1 1 0 1 1 3 1 1 3 0 0 3 0 2 1 0 1 3 1 0 0 2 0 0 0 2 2 2 1 1 1 0 2 1 3 2 1 1 1 1 1 1 1 1 0 3 3 0 1 1 0 3 1 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 2 2 0 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 2 2 2 2 0 0 2 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 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 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 0 0 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0 0 0 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 0 0 0 generates a code of length 79 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+123x^68+264x^70+366x^72+447x^74+474x^76+466x^78+450x^80+437x^82+338x^84+251x^86+231x^88+138x^90+46x^92+33x^94+15x^96+9x^98+3x^100+1x^102+1x^104+1x^106+1x^110 The gray image is a code over GF(2) with n=158, k=12 and d=68. This code was found by Heurico 1.16 in 3.56 seconds.