The generator matrix 1 0 0 0 0 0 1 1 1 1 0 1 0 1 2 0 2 1 1 1 1 0 2 1 1 2 1 1 0 1 0 2 0 1 1 0 1 1 1 1 1 2 1 1 1 1 0 2 0 1 1 1 2 0 1 0 0 1 0 2 1 2 1 1 0 2 2 1 1 2 0 2 2 2 2 1 2 0 1 2 1 1 2 2 0 1 2 2 1 0 1 0 0 0 0 2 2 1 3 1 2 2 3 1 2 1 3 0 0 2 1 1 1 1 1 3 0 1 1 0 2 1 0 3 0 2 2 2 2 1 2 3 2 1 1 1 1 2 1 3 0 1 1 3 2 1 2 1 1 2 1 0 2 0 0 0 0 2 0 1 1 2 1 2 0 1 1 1 0 1 2 2 0 1 1 1 1 2 0 0 1 0 0 0 0 0 0 0 0 0 2 2 2 1 3 3 1 1 1 1 1 1 3 1 0 3 2 1 1 0 2 3 1 2 0 3 2 1 3 1 0 3 0 0 3 2 1 1 1 0 1 2 2 1 2 2 0 3 2 1 0 0 1 0 1 3 1 0 2 3 1 1 2 3 2 0 3 0 3 1 2 1 2 1 2 1 3 0 0 0 1 0 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 0 0 2 2 2 2 2 2 0 1 1 1 3 3 1 3 1 3 3 0 1 3 3 1 1 3 1 3 3 3 3 0 0 1 3 3 1 3 3 1 3 1 3 3 1 3 2 3 1 1 3 2 1 1 1 3 2 2 2 0 2 1 0 2 3 2 1 2 0 0 0 0 1 0 0 3 2 1 1 1 1 1 1 1 2 2 3 3 2 1 3 3 2 0 0 2 0 1 2 1 2 1 0 0 2 2 3 1 0 0 0 0 1 0 0 1 1 0 1 2 0 3 3 2 2 0 0 3 2 1 1 0 3 1 3 1 1 2 0 1 2 0 3 2 0 2 3 1 1 3 3 1 1 2 0 2 1 0 0 0 0 0 1 1 3 1 2 1 0 1 3 2 0 0 2 2 3 1 3 0 1 3 1 2 0 1 2 1 2 3 3 3 1 1 2 1 0 1 0 1 3 3 2 0 0 3 2 1 0 1 2 0 1 3 3 1 1 0 0 0 0 2 2 0 1 2 3 0 2 3 0 1 1 2 0 0 0 3 1 3 1 3 3 3 3 1 generates a code of length 89 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+56x^78+118x^79+143x^80+172x^81+197x^82+244x^83+261x^84+240x^85+255x^86+224x^87+226x^88+214x^89+180x^90+198x^91+162x^92+158x^93+146x^94+166x^95+118x^96+104x^97+119x^98+84x^99+81x^100+56x^101+61x^102+44x^103+24x^104+14x^105+8x^106+10x^107+8x^108+2x^109+2x^110 The gray image is a code over GF(2) with n=178, k=12 and d=78. This code was found by Heurico 1.16 in 3.34 seconds.