The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 2 1 1 1 0 1 1 0 1 2 1 0 1 1 1 1 1 1 0 1 0 1 0 1 2 2 2 0 1 1 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 3 1 0 1 1 3 0 1 0 1 3 0 3 1 3 0 1 0 1 2 1 3 0 0 2 1 0 1 0 1 2 2 3 1 2 1 1 0 3 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 0 0 2 0 2 2 0 0 0 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 2 0 2 2 2 0 2 2 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 0 0 2 2 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 2 2 0 0 2 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 0 0 2 0 2 0 0 2 2 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 2 2 0 2 0 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 2 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 2 2 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 2 2 0 0 0 2 0 0 2 0 0 0 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 2 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 2 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+102x^40+72x^42+10x^43+260x^44+56x^45+257x^46+176x^47+558x^48+416x^49+609x^50+754x^51+808x^52+1152x^53+892x^54+1520x^55+1000x^56+1536x^57+926x^58+1166x^59+822x^60+760x^61+792x^62+416x^63+397x^64+160x^65+366x^66+54x^67+116x^68+16x^69+128x^70+22x^72+38x^74+10x^76+11x^78+5x^82 The gray image is a code over GF(2) with n=112, k=14 and d=40. This code was found by Heurico 1.16 in 32.5 seconds.