The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 0 1 1 0 0 0 1 1 1 1 2 2 1 2 1 1 1 1 1 0 1 2 0 1 2 2 0 1 2 0 0 0 1 2 1 0 0 1 2 2 1 1 1 2 2 2 1 0 1 0 1 1 0 2 1 0 1 2 0 0 0 2 0 1 0 1 0 1 1 1 1 1 0 2 1 1 0 1 0 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 1 1 2 0 0 1 0 2 1 3 2 1 3 1 0 1 1 2 1 0 1 3 2 0 1 1 0 1 3 2 1 3 0 1 1 2 2 2 0 2 3 1 2 2 2 3 1 1 1 2 2 2 1 2 1 1 1 2 2 0 1 3 1 3 1 2 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 2 2 3 1 1 3 2 3 1 1 2 0 3 0 1 2 1 2 3 1 1 3 3 0 0 1 2 1 2 2 1 2 0 1 0 2 1 3 3 0 0 1 1 0 0 3 0 1 2 0 0 0 3 1 3 1 2 0 2 0 2 1 2 2 3 0 0 1 1 2 0 1 3 0 0 0 0 1 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 0 1 3 3 1 1 1 3 3 3 1 3 3 2 3 1 3 0 1 1 2 1 1 3 1 2 0 1 0 0 2 3 2 3 2 3 1 1 0 2 2 2 2 0 1 2 3 3 1 2 2 3 1 3 2 0 1 2 3 0 1 0 2 1 3 1 3 1 0 0 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 2 2 2 2 1 1 1 1 3 1 3 3 3 2 3 1 1 2 1 2 1 3 3 3 2 3 1 1 2 3 0 2 0 0 3 1 3 2 2 1 1 3 3 3 1 1 0 3 1 2 2 0 3 3 1 3 2 1 0 0 3 3 0 0 0 0 0 0 1 0 1 3 2 3 0 1 1 1 2 1 2 3 0 1 0 0 1 2 3 1 2 0 3 0 1 1 1 2 3 3 0 0 0 3 3 1 3 3 0 0 3 3 3 1 0 1 2 0 2 3 0 1 0 3 2 2 1 2 0 2 0 3 2 3 2 1 2 0 0 2 1 1 1 1 1 0 0 1 0 1 2 0 0 0 0 0 0 0 1 2 1 3 3 1 0 1 0 1 3 1 2 0 3 3 2 0 2 2 1 1 2 1 1 1 1 3 1 0 2 2 1 1 2 2 3 0 1 3 3 2 0 2 2 0 3 0 0 2 0 3 1 0 2 0 3 2 0 2 1 3 2 3 2 2 2 3 0 3 3 2 1 1 3 0 0 1 1 3 0 3 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+25x^74+110x^75+171x^76+276x^77+364x^78+444x^79+565x^80+504x^81+659x^82+658x^83+716x^84+748x^85+766x^86+852x^87+835x^88+986x^89+857x^90+900x^91+810x^92+808x^93+743x^94+614x^95+607x^96+556x^97+474x^98+328x^99+307x^100+216x^101+169x^102+106x^103+74x^104+58x^105+36x^106+20x^107+8x^108+8x^109+2x^110+2x^112+1x^138 The gray image is a code over GF(2) with n=178, k=14 and d=74. This code was found by Heurico 1.10 in 20.3 seconds.