The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 2 1 1 0 1 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 2 1 1 1 1 2 2 2 2 2 0 1 1 0 1 1 0 3 1 3 1 0 3 0 1 3 2 1 1 3 0 1 3 3 1 2 0 0 2 0 2 2 3 1 0 2 2 0 0 2 0 0 2 0 0 3 2 1 1 1 1 2 1 0 2 1 1 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 0 2 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 2 0 0 2 2 2 0 0 0 2 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 2 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 0 0 2 2 2 0 0 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 2 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 0 0 0 2 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 2 0 0 2 2 0 2 0 0 0 0 2 2 2 2 0 2 2 2 0 generates a code of length 57 over Z4 who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+155x^52+158x^56+138x^60+39x^64+14x^68+4x^76+2x^80+1x^84 The gray image is a code over GF(2) with n=114, k=9 and d=52. This code was found by Heurico 1.16 in 4.32 seconds.