The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 0 1 1 1 1 0 2 1 1 1 0 2 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 0 1 1 1 2 1 2 2 1 1 1 2 1 1 1 2 1 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 1 0 3 2 1 1 3 0 3 0 3 0 2 1 1 1 0 2 1 1 3 0 1 3 3 0 1 2 1 1 3 1 2 1 0 1 2 1 0 3 1 0 3 2 0 2 1 1 1 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 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 2 0 2 0 0 0 2 0 2 2 2 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 0 2 generates a code of length 73 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+34x^58+112x^60+233x^62+374x^64+534x^66+793x^68+1002x^70+1035x^72+1036x^74+1003x^76+802x^78+524x^80+326x^82+185x^84+98x^86+44x^88+22x^90+17x^92+9x^94+5x^96+2x^100+1x^104 The gray image is a code over GF(2) with n=146, k=13 and d=58. This code was found by Heurico 1.16 in 13.9 seconds.