The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 2 1 1 1 1 0 1 2 1 1 1 0 1 1 0 2 1 1 0 1 1 1 1 0 1 0 1 2 1 0 1 2 2 1 1 0 2 1 1 2 1 1 2 1 1 0 1 1 0 1 1 0 1 1 2 3 1 1 0 3 0 3 1 3 1 2 0 3 1 3 0 1 1 0 3 1 0 3 1 0 1 3 1 3 1 1 1 1 1 1 2 3 1 1 0 2 2 1 0 1 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 0 0 2 2 2 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 2 0 2 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 0 2 0 2 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 2 2 0 0 0 0 2 0 2 2 0 0 2 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 0 2 0 0 0 2 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 generates a code of length 57 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+124x^50+116x^52+178x^54+110x^56+145x^58+112x^60+147x^62+31x^64+30x^66+8x^68+8x^70+2x^72+5x^74+4x^76+3x^78 The gray image is a code over GF(2) with n=114, k=10 and d=50. This code was found by Heurico 1.16 in 30.1 seconds.