The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 0 2 2 1 1 2 1 1 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 2 0 2 2 0 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 0 0 0 2 0 0 0 2 2 2 0 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 2 0 2 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 2 2 0 0 0 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 2 0 0 2 0 0 2 0 2 2 0 0 0 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 2 0 2 2 2 0 2 2 2 2 0 2 2 0 0 0 2 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 0 2 0 2 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 2 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+182x^44+372x^48+132x^50+554x^52+368x^54+875x^56+408x^58+580x^60+112x^62+303x^64+4x^66+154x^68+48x^72+2x^76+1x^88 The gray image is a code over GF(2) with n=112, k=12 and d=44. This code was found by Heurico 1.16 in 6.88 seconds.