The generator matrix 1 0 0 0 0 0 1 1 1 1 1 2 0 0 1 2 1 0 2 1 2 0 0 0 1 2 0 1 2 2 1 0 0 1 1 1 1 2 1 2 1 1 1 0 1 1 1 1 1 1 2 1 1 1 1 0 1 0 0 0 0 0 1 0 3 1 1 1 2 2 1 3 2 0 1 1 0 0 0 0 1 0 3 0 1 0 1 2 1 3 2 0 2 3 1 0 0 2 1 3 2 3 1 0 3 1 3 0 0 0 0 0 1 0 0 0 0 1 1 1 0 3 2 1 1 3 2 2 1 3 1 1 1 0 0 1 1 3 2 1 0 0 1 3 2 1 0 1 2 1 2 3 2 0 2 2 2 1 1 0 0 1 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 3 2 2 2 1 1 3 1 3 0 2 2 3 0 1 2 1 0 3 0 2 3 2 3 1 1 2 1 3 0 1 3 1 2 1 0 0 3 2 2 0 0 0 0 0 0 0 1 0 1 0 0 1 2 1 3 3 3 0 1 0 3 2 0 0 1 1 2 3 2 1 2 1 1 1 0 3 0 3 1 1 3 0 3 2 1 2 1 3 2 2 1 2 1 1 0 0 0 0 0 0 0 0 1 1 1 0 0 2 3 2 0 1 3 1 1 3 2 3 1 3 1 2 1 1 3 0 2 2 3 3 0 3 0 3 2 0 2 0 2 3 0 2 1 3 1 1 2 1 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 0 2 0 2 2 0 2 2 2 0 2 0 0 2 2 2 0 2 2 2 0 0 0 0 0 2 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 2 2 0 0 0 2 2 0 2 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 0 0 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 generates a code of length 55 over Z4 who´s minimum homogenous weight is 39. Homogenous weight enumerator: w(x)=1x^0+28x^39+66x^40+106x^41+216x^42+330x^43+406x^44+596x^45+780x^46+832x^47+1114x^48+1346x^49+1471x^50+1702x^51+1937x^52+2052x^53+2190x^54+2228x^55+2180x^56+2144x^57+1962x^58+1844x^59+1558x^60+1362x^61+1126x^62+918x^63+709x^64+470x^65+359x^66+266x^67+185x^68+100x^69+70x^70+40x^71+34x^72+14x^73+16x^74+2x^75+2x^76+2x^77+2x^78+2x^79 The gray image is a code over GF(2) with n=110, k=15 and d=39. This code was found by Heurico 1.16 in 99.9 seconds.