The generator matrix 1 0 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 2 1 1 0 1 1 1 1 2 1 2 2 1 1 2 1 2 1 0 2 2 0 1 1 0 1 1 0 2 1 2 1 1 2 1 1 1 1 1 0 1 0 0 0 0 0 1 0 3 1 1 3 2 3 1 2 2 3 0 1 3 1 3 3 1 2 2 1 0 1 1 2 1 1 0 2 1 0 0 2 0 0 0 1 0 0 1 2 1 1 2 0 0 0 0 0 0 1 0 0 0 0 1 1 1 0 1 3 2 0 2 3 1 2 3 1 1 3 3 0 0 1 1 3 3 3 0 2 2 3 1 1 1 1 0 2 2 3 3 1 1 2 3 0 0 2 2 0 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1 2 3 3 3 1 2 1 0 3 1 2 0 2 2 3 3 3 1 0 1 3 0 1 1 2 0 3 2 1 0 3 2 0 2 1 3 0 0 2 0 0 0 0 0 0 0 0 1 0 1 0 0 1 0 1 2 0 3 1 0 3 3 3 0 0 1 1 2 3 1 0 1 3 1 2 2 2 2 2 2 1 2 2 2 2 1 3 2 2 0 0 3 2 3 1 0 0 0 0 0 0 0 0 0 1 1 1 0 2 0 3 3 1 1 2 3 3 3 0 2 2 1 3 0 2 0 1 2 3 1 1 1 1 0 0 1 1 3 2 0 2 2 1 3 0 1 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 2 2 0 0 0 2 0 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 0 2 0 2 0 0 0 0 2 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 2 2 2 0 0 2 0 0 2 0 0 0 2 2 0 2 2 2 2 2 2 0 0 0 0 2 0 0 0 0 0 generates a code of length 56 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+24x^39+94x^40+150x^41+218x^42+280x^43+371x^44+468x^45+526x^46+742x^47+925x^48+1036x^49+1213x^50+1542x^51+1744x^52+1866x^53+2052x^54+2046x^55+2009x^56+2046x^57+2052x^58+1930x^59+1763x^60+1526x^61+1336x^62+1110x^63+922x^64+796x^65+609x^66+414x^67+286x^68+258x^69+152x^70+94x^71+73x^72+36x^73+28x^74+10x^75+4x^76+10x^77+6x^78 The gray image is a code over GF(2) with n=112, k=15 and d=39. This code was found by Heurico 1.16 in 99.6 seconds.