The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 1 1 0 1 1 1 1 2 0 1 0 2 0 1 0 1 1 1 0 1 1 2 1 2 1 1 1 2 2 1 2 1 1 1 1 0 1 1 2 2 1 1 1 1 0 2 1 2 2 2 0 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 1 3 1 1 3 0 1 3 1 2 1 3 0 3 3 2 1 0 1 1 0 2 0 2 1 1 1 1 2 0 1 3 2 2 2 2 0 2 2 1 0 2 0 1 2 2 1 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 1 1 0 1 3 3 2 2 1 1 0 2 1 1 0 1 2 2 2 3 0 1 0 1 0 0 1 0 2 3 1 3 2 3 1 0 3 1 2 1 2 1 0 0 2 0 2 1 0 2 1 1 2 1 3 0 0 0 0 0 0 1 0 0 0 1 1 1 2 1 3 3 2 3 1 2 0 3 0 2 1 1 1 1 0 0 0 3 1 2 2 1 0 3 0 1 0 0 2 2 3 2 3 0 3 0 2 3 1 0 1 2 0 1 0 1 2 2 1 0 2 1 3 0 0 0 0 0 0 0 0 1 0 1 0 1 3 2 1 3 3 3 0 2 0 1 3 1 1 2 3 0 2 0 1 3 1 2 0 2 2 2 3 0 3 2 2 2 2 2 1 3 0 1 3 1 2 3 1 1 0 3 0 3 1 0 3 0 1 3 2 3 3 0 0 0 0 0 0 0 0 1 1 3 2 1 1 1 0 1 3 2 1 1 2 2 3 3 0 3 1 3 0 2 2 3 1 0 1 2 1 0 1 1 3 0 2 2 0 3 2 1 0 1 2 1 2 1 0 0 1 2 2 3 3 0 0 2 2 1 3 3 1 0 0 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+58x^56+273x^58+498x^60+668x^62+828x^64+848x^66+963x^68+987x^70+832x^72+765x^74+647x^76+423x^78+217x^80+115x^82+48x^84+14x^86+3x^88+3x^90+1x^96 The gray image is a code over GF(2) with n=138, k=13 and d=56. This code was found by Heurico 1.10 in 7.38 seconds.