The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 2 2 1 1 1 2 0 1 2 0 1 1 1 0 1 2 0 1 1 1 1 0 1 0 0 0 1 1 1 1 2 0 2 1 1 0 1 2 2 2 2 1 1 1 2 1 2 0 2 1 0 2 1 1 1 0 1 2 0 1 0 1 0 1 0 1 1 0 0 1 3 1 2 1 0 2 3 1 1 1 0 1 2 2 3 0 1 1 1 1 3 0 0 1 3 1 1 2 0 3 0 0 0 2 1 2 0 1 1 1 1 1 0 1 1 3 1 0 1 2 1 3 0 1 3 1 2 0 0 1 0 3 0 0 1 1 1 0 1 0 1 1 0 2 1 3 3 2 0 1 0 3 1 0 3 2 1 1 0 1 3 3 3 2 0 0 2 3 0 1 3 1 3 0 1 1 1 3 1 1 3 1 2 0 1 2 0 3 0 3 3 1 2 3 1 3 1 0 2 1 3 0 1 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 0 2 2 0 0 0 0 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 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 0 0 2 2 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 2 2 2 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 0 2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 0 0 0 2 0 2 0 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 generates a code of length 72 over Z4 who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+179x^60+330x^62+643x^64+644x^66+830x^68+890x^70+1165x^72+876x^74+970x^76+606x^78+583x^80+204x^82+182x^84+30x^86+35x^88+4x^90+15x^92+5x^96 The gray image is a code over GF(2) with n=144, k=13 and d=60. This code was found by Heurico 1.16 in 12.4 seconds.