The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 2 0 0 1 2 1 1 1 2 1 1 1 2 0 1 1 1 2 0 1 0 1 2 2 1 2 1 1 2 1 1 1 1 1 1 0 2 0 1 1 1 1 1 0 1 0 2 1 0 1 1 2 2 0 0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 1 0 1 1 1 0 0 2 1 1 2 2 3 1 1 1 1 0 1 0 1 2 1 1 3 0 2 1 2 0 3 2 1 1 2 1 2 2 2 3 1 2 3 0 1 3 1 1 3 1 1 1 1 3 2 3 0 3 1 1 0 1 0 1 0 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 0 0 1 1 2 1 0 3 3 0 1 2 1 1 1 0 1 3 1 3 2 1 0 3 1 0 1 0 1 1 2 0 1 2 1 2 0 2 3 1 3 1 1 0 1 1 2 3 0 1 0 2 1 1 1 0 3 3 3 0 3 2 2 2 3 0 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 2 1 1 0 2 3 1 1 1 3 2 1 0 1 3 2 3 3 3 0 0 0 0 3 2 0 1 3 2 2 0 0 1 0 0 0 3 1 2 2 0 2 1 1 1 1 1 1 2 3 0 0 2 0 1 3 3 0 0 2 2 1 1 3 1 3 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 0 2 0 2 0 2 2 0 0 2 2 2 2 2 2 0 2 0 2 2 0 2 2 0 0 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 2 0 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 2 0 0 2 2 0 2 2 0 0 0 0 0 2 0 2 2 0 2 0 2 0 2 2 2 0 0 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 0 2 0 0 0 2 0 2 0 0 0 2 2 0 2 2 0 2 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 2 0 2 0 2 0 2 2 2 2 2 0 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 0 2 0 2 2 2 2 2 0 2 2 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 generates a code of length 89 over Z4 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+63x^74+106x^75+214x^76+226x^77+338x^78+412x^79+437x^80+484x^81+646x^82+730x^83+702x^84+826x^85+830x^86+822x^87+860x^88+942x^89+876x^90+864x^91+904x^92+896x^93+708x^94+696x^95+601x^96+512x^97+433x^98+338x^99+270x^100+162x^101+163x^102+118x^103+77x^104+46x^105+27x^106+10x^107+19x^108+2x^109+8x^110+7x^112+3x^114+2x^116+1x^118+1x^120+1x^124 The gray image is a code over GF(2) with n=178, k=14 and d=74. This code was found by Heurico 1.16 in 62.2 seconds.