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 0 0 1 2 1 1 1 1 2 1 0 1 1 1 1 1 2 1 2 1 1 0 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 0 3 3 0 1 1 2 1 2 3 0 1 0 3 1 2 0 2 0 0 2 3 1 3 0 1 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 2 0 2 0 2 2 2 2 2 0 0 2 2 2 0 2 2 0 0 2 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 0 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 2 0 0 0 2 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 2 0 2 2 0 0 0 0 0 0 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 0 2 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 0 0 2 2 2 2 2 2 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 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 2 0 0 2 2 2 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 2 2 0 2 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 0 0 0 2 2 2 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 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 2 0 0 2 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 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 2 0 2 0 0 0 2 0 2 0 2 2 0 0 2 2 2 2 0 2 0 0 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 0 0 2 2 2 2 2 0 2 0 2 2 0 0 0 0 0 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+210x^44+94x^46+577x^48+468x^50+1085x^52+950x^54+1402x^56+1016x^58+1080x^60+458x^62+545x^64+84x^66+179x^68+2x^70+34x^72+5x^76+1x^80+1x^92 The gray image is a code over GF(2) with n=112, k=13 and d=44. This code was found by Heurico 1.16 in 40.3 seconds.