The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 2 0 0 2 0 1 1 2 0 1 1 1 0 1 1 1 2 1 1 0 1 2 2 1 1 2 2 1 2 2 1 1 0 0 1 2 2 1 1 1 1 0 1 0 0 0 1 1 1 0 0 1 3 1 0 1 1 2 1 2 1 2 1 2 1 1 2 1 2 2 3 2 2 3 1 2 0 1 0 2 1 1 1 0 1 3 2 2 2 3 0 1 0 2 0 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 2 1 3 2 1 3 0 1 0 2 0 3 0 3 1 1 2 3 1 1 0 2 0 2 3 2 1 1 2 2 1 0 1 2 1 1 1 2 0 0 0 0 0 1 1 0 1 1 1 0 1 0 1 1 0 2 2 2 1 3 2 3 1 3 0 0 1 1 3 0 0 1 0 1 0 1 1 1 0 3 1 3 0 2 1 0 1 0 2 1 2 3 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 2 2 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 0 2 0 0 0 2 0 0 0 2 0 0 2 2 0 0 2 0 2 2 0 2 2 0 0 0 0 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 2 2 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 2 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 0 2 2 0 2 2 0 2 2 0 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 0 0 2 2 0 0 2 0 0 2 0 0 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 2 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 2 0 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+35x^40+32x^41+206x^42+208x^43+327x^44+460x^45+735x^46+790x^47+988x^48+1234x^49+1723x^50+1800x^51+1694x^52+2324x^53+2558x^54+2492x^55+1994x^56+2418x^57+2419x^58+1978x^59+1435x^60+1316x^61+1120x^62+766x^63+539x^64+342x^65+377x^66+140x^67+125x^68+60x^69+66x^70+16x^71+27x^72+6x^73+11x^74+2x^75+2x^76+1x^78+1x^84 The gray image is a code over GF(2) with n=110, k=15 and d=40. This code was found by Heurico 1.16 in 99.7 seconds.