The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 0 1 1 1 1 0 1 2 1 1 0 2 1 1 1 1 1 1 1 1 0 0 2 1 1 1 1 0 1 1 1 0 1 2 0 1 1 1 1 1 0 1 1 2 1 1 1 0 1 2 2 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 0 1 3 2 1 1 3 0 3 0 3 0 2 1 1 1 1 0 3 3 3 1 1 0 0 1 3 1 1 3 0 2 1 2 1 2 2 1 1 2 0 1 0 1 2 0 2 3 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 2 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 2 2 2 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 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 2 0 0 2 0 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 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 0 2 2 0 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 0 0 0 0 2 2 0 2 2 0 2 2 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 2 2 2 0 0 2 2 0 2 2 2 0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 0 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 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 0 0 2 2 2 2 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 2 2 2 2 0 2 2 2 2 2 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 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 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 0 0 0 0 0 0 2 2 2 generates a code of length 71 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+111x^56+24x^58+352x^60+234x^62+704x^64+616x^66+1077x^68+882x^70+1238x^72+808x^74+916x^76+414x^78+472x^80+88x^82+164x^84+6x^86+63x^88+16x^92+3x^96+3x^100 The gray image is a code over GF(2) with n=142, k=13 and d=56. This code was found by Heurico 1.16 in 13.3 seconds.