The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 1 1 2 1 1 2 1 2 2 1 0 1 0 1 2 2 1 2 0 0 2 1 1 0 2 2 1 1 1 1 1 0 1 1 1 1 1 0 1 0 1 1 2 0 0 0 0 1 1 2 0 0 2 0 2 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 2 1 2 0 1 3 1 2 1 3 1 2 1 0 1 1 2 3 1 1 1 2 2 1 2 1 2 1 0 3 1 3 3 1 3 0 3 2 2 1 0 0 2 2 0 1 0 1 2 1 1 2 0 0 1 0 0 0 0 0 0 0 1 0 2 2 1 1 1 3 3 1 1 2 3 0 3 0 3 3 1 2 1 0 3 1 3 2 3 0 2 0 1 3 3 3 3 1 2 1 2 0 3 1 0 3 3 0 2 1 1 1 2 2 3 1 2 1 2 0 2 0 0 0 1 0 0 0 1 1 1 2 2 0 1 1 1 3 2 0 3 1 3 0 1 1 2 0 2 3 3 2 0 1 2 3 0 2 3 1 2 3 3 0 0 2 3 0 1 3 2 1 1 1 1 2 0 3 3 1 1 1 2 1 2 3 0 1 2 0 0 0 0 0 1 0 1 0 1 3 2 2 1 3 2 2 3 1 3 2 0 2 2 3 3 3 3 2 1 0 1 0 1 0 1 3 1 0 3 0 1 3 0 1 0 0 0 2 2 2 0 0 1 2 1 2 3 1 3 1 3 0 3 3 3 0 0 0 1 0 0 0 0 0 1 1 3 2 1 1 3 0 1 3 0 0 0 0 2 3 3 0 0 3 3 1 1 2 0 1 0 3 2 2 2 0 3 2 3 3 0 1 3 2 3 2 0 3 1 0 0 1 2 1 1 0 2 1 3 0 2 0 2 2 3 1 1 2 0 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 generates a code of length 69 over Z4 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+192x^58+567x^60+696x^62+814x^64+905x^66+948x^68+1009x^70+901x^72+789x^74+616x^76+386x^78+223x^80+110x^82+25x^84+8x^86+1x^94+1x^96 The gray image is a code over GF(2) with n=138, k=13 and d=58. This code was found by Heurico 1.10 in 7.69 seconds.