The generator matrix 1 0 0 0 1 1 1 1 0 1 1 1 2 2 2 1 1 2 1 1 1 1 1 2 0 0 2 2 1 1 1 1 0 2 0 1 2 1 1 0 1 1 1 2 2 0 1 1 2 0 1 2 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 1 2 3 1 1 3 0 2 2 1 2 0 1 2 1 0 0 3 1 1 0 3 0 2 0 1 2 1 1 0 1 1 0 3 2 1 1 1 2 0 0 0 0 0 1 0 1 0 1 0 1 1 1 0 0 1 1 0 1 1 0 2 0 3 3 2 1 2 2 1 3 0 1 3 1 0 2 0 1 2 1 1 0 1 0 1 0 3 1 1 2 1 3 2 1 0 0 0 0 0 0 1 1 1 0 0 1 1 0 1 1 1 0 1 1 0 1 0 2 3 2 2 0 1 3 1 0 1 2 3 3 0 1 1 3 2 0 0 2 2 0 0 2 1 0 2 1 2 0 3 3 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 2 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 0 2 2 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 2 0 0 2 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 2 0 2 0 2 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 0 2 2 2 0 2 2 0 0 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+48x^40+50x^41+103x^42+188x^43+226x^44+350x^45+548x^46+678x^47+883x^48+1018x^49+1311x^50+1478x^51+1690x^52+2036x^53+2163x^54+2306x^55+2272x^56+2370x^57+2272x^58+2118x^59+1961x^60+1616x^61+1236x^62+1018x^63+786x^64+614x^65+443x^66+338x^67+252x^68+124x^69+99x^70+62x^71+58x^72+12x^73+15x^74+6x^75+15x^76+2x^77+2x^78 The gray image is a code over GF(2) with n=112, k=15 and d=40. This code was found by Heurico 1.16 in 99.5 seconds.