The generator matrix 1 0 0 1 1 1 0 1 1 1 0 2 1 2 1 1 0 0 1 1 2 1 1 1 1 1 2 1 1 1 0 1 2 0 1 1 2 1 0 1 1 2 1 1 1 1 1 1 1 0 1 1 1 2 0 0 1 1 0 1 0 0 1 1 1 0 2 3 0 1 1 1 2 2 1 2 3 3 1 2 3 1 2 2 1 0 0 0 0 1 2 1 1 2 1 2 1 2 3 2 3 3 1 1 2 2 1 1 0 1 2 1 1 1 0 1 0 0 1 1 1 0 1 0 3 0 1 2 3 1 3 0 0 1 2 1 3 0 0 1 1 3 3 2 2 2 1 1 1 3 0 3 3 3 0 2 2 1 2 3 1 0 3 1 1 1 1 1 2 1 3 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 2 0 0 0 2 2 2 0 0 0 0 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 2 2 2 2 0 2 2 2 2 2 0 0 2 0 2 2 2 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 2 0 2 2 0 2 2 2 2 0 2 2 0 0 2 0 2 0 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 2 2 0 0 0 2 0 0 0 0 generates a code of length 58 over Z4 who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+149x^50+234x^52+308x^54+246x^56+305x^58+222x^60+218x^62+115x^64+135x^66+70x^68+32x^70+6x^72+3x^74+2x^76+2x^78 The gray image is a code over GF(2) with n=116, k=11 and d=50. This code was found by Heurico 1.16 in 0.66 seconds.