The generator matrix 1 0 0 0 0 1 1 1 0 1 1 2 1 1 0 0 1 1 1 1 2 1 2 1 1 1 0 0 1 0 0 0 2 2 0 1 1 1 1 0 2 0 2 0 2 1 2 2 2 1 2 0 1 1 1 1 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 2 2 3 3 2 3 1 0 1 2 1 1 1 2 1 2 1 1 1 0 3 0 3 1 2 1 1 2 1 0 0 0 0 3 1 0 2 0 3 1 0 0 1 0 0 0 1 1 1 1 3 2 0 2 1 1 0 3 2 3 2 0 3 0 3 1 0 3 1 1 0 1 2 3 0 2 2 0 0 2 1 3 3 0 1 3 2 1 1 3 2 1 2 0 1 1 0 0 0 1 0 1 1 0 1 0 1 3 3 2 1 2 2 2 2 0 1 3 0 1 3 3 0 0 3 3 0 3 1 0 3 3 3 2 0 1 0 1 1 1 2 0 2 2 3 0 1 1 2 0 1 0 0 0 0 0 1 1 0 1 1 0 1 3 2 3 2 0 3 0 2 1 1 1 0 2 0 1 3 2 2 1 1 2 2 1 1 0 1 1 2 2 3 2 1 2 0 2 1 2 2 2 3 2 1 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 0 0 2 2 0 0 0 0 2 0 2 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 2 generates a code of length 56 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+100x^44+150x^45+312x^46+368x^47+446x^48+594x^49+682x^50+858x^51+887x^52+946x^53+1069x^54+1110x^55+1179x^56+1200x^57+1078x^58+1112x^59+942x^60+838x^61+715x^62+512x^63+425x^64+318x^65+186x^66+126x^67+103x^68+50x^69+47x^70+10x^71+11x^72+6x^74+1x^78+2x^80 The gray image is a code over GF(2) with n=112, k=14 and d=44. This code was found by Heurico 1.16 in 57.2 seconds.