The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 2 0 1 1 1 2 1 1 0 1 0 1 1 1 1 2 0 2 0 0 1 0 0 1 2 1 1 1 0 1 1 0 0 1 0 1 0 2 2 1 1 2 1 1 2 1 0 2 0 1 1 1 1 2 2 1 0 1 0 2 2 1 1 2 1 1 1 0 1 1 2 2 0 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 2 1 1 1 1 1 3 2 1 3 1 2 1 3 3 1 2 0 1 1 1 1 2 0 1 0 1 1 0 2 1 1 1 1 2 0 1 1 1 3 0 1 2 2 1 0 2 0 1 3 3 3 2 1 1 0 1 1 0 0 0 2 3 0 2 3 2 0 0 0 1 0 1 3 1 1 0 0 0 1 0 0 0 0 0 0 0 1 3 1 0 2 1 3 1 2 3 3 0 2 1 3 2 3 0 1 1 3 3 1 0 1 1 1 2 1 1 1 0 2 3 1 3 0 2 0 2 2 3 3 0 1 0 0 2 0 2 3 3 2 2 1 0 1 3 2 2 1 2 2 1 2 1 3 0 2 0 0 3 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 3 1 0 2 3 0 2 2 2 2 0 0 1 2 3 3 3 1 1 3 3 1 0 3 0 0 2 1 2 1 1 1 0 3 2 0 1 0 0 2 1 0 0 1 0 2 3 0 1 2 2 2 1 3 1 2 3 0 1 3 2 0 1 1 1 0 0 0 2 1 2 2 3 2 1 1 2 2 0 0 0 0 0 1 0 1 1 0 3 2 1 1 3 0 1 0 3 3 3 2 0 1 0 1 3 2 0 1 0 3 2 3 1 3 3 1 3 0 0 2 2 1 1 1 1 1 2 1 2 3 0 3 2 3 0 0 3 0 1 2 2 3 1 0 1 2 2 0 2 0 2 0 3 1 0 0 1 3 3 1 3 3 3 1 0 3 3 0 0 0 0 0 0 1 1 2 3 1 0 1 1 1 2 3 0 2 0 2 1 3 0 1 2 1 3 3 2 1 3 2 1 0 3 0 2 2 0 1 1 0 3 2 3 2 0 1 2 2 1 1 3 2 1 3 0 0 0 1 2 3 1 0 3 3 1 0 3 1 3 1 2 3 2 3 0 0 1 3 3 3 0 0 3 2 3 0 0 0 0 0 0 0 0 2 0 2 2 0 2 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 2 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 2 0 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+39x^76+98x^77+186x^78+232x^79+298x^80+334x^81+352x^82+420x^83+367x^84+432x^85+419x^86+394x^87+406x^88+408x^89+452x^90+398x^91+389x^92+372x^93+384x^94+364x^95+283x^96+258x^97+225x^98+160x^99+155x^100+116x^101+75x^102+66x^103+36x^104+24x^105+18x^106+14x^107+10x^108+6x^109+1x^114 The gray image is a code over GF(2) with n=178, k=13 and d=76. This code was found by Heurico 1.16 in 14.8 seconds.