The generator matrix 1 0 1 1 1 0 1 1 0 1 1 2 1 1 0 1 1 0 1 1 1 0 2 1 1 1 0 1 1 0 1 1 0 0 1 1 0 2 1 0 1 2 1 1 1 1 2 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 2 3 1 0 3 1 3 0 1 0 3 3 1 1 0 3 1 1 2 3 1 0 1 1 1 3 3 1 1 3 1 0 1 1 0 2 3 1 0 3 2 1 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 2 2 0 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 2 0 2 2 2 2 2 2 2 0 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 0 2 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 2 2 2 0 2 generates a code of length 53 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+113x^44+100x^46+301x^48+232x^50+323x^52+224x^54+327x^56+184x^58+151x^60+28x^62+34x^64+21x^68+9x^72 The gray image is a code over GF(2) with n=106, k=11 and d=44. This code was found by Heurico 1.16 in 0.552 seconds.