The generator matrix 1 0 0 0 0 1 1 1 1 1 2 1 0 2 1 0 1 1 1 1 0 2 1 2 1 2 1 0 2 0 2 2 1 0 1 1 1 0 1 1 0 2 1 2 1 2 2 0 0 2 2 1 1 1 0 2 1 2 2 1 1 1 1 0 1 0 0 0 0 1 1 1 1 0 0 1 0 2 1 1 0 1 1 0 0 1 0 0 1 0 1 0 0 0 0 0 0 0 2 0 0 2 2 2 2 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 2 3 0 1 1 2 1 0 1 3 0 3 0 1 1 1 1 1 1 2 1 1 2 2 1 1 1 0 0 0 2 1 1 2 2 2 1 2 0 3 0 1 2 1 1 2 1 1 2 0 1 2 0 1 1 2 0 0 1 0 0 0 1 0 1 1 2 3 1 1 0 1 3 2 3 0 3 3 1 2 1 0 0 2 1 3 3 1 3 1 2 1 2 1 1 3 1 2 3 1 3 1 3 2 0 1 1 0 2 2 2 1 0 3 1 2 2 0 0 2 2 3 2 1 1 1 1 1 1 2 2 2 1 2 2 2 3 2 3 3 1 2 2 0 0 0 0 0 1 0 1 1 2 2 2 1 3 3 2 1 3 2 1 3 1 2 3 0 1 1 1 0 0 0 0 3 2 3 2 0 3 2 3 2 1 3 2 2 1 0 0 3 3 2 2 3 0 1 1 2 0 0 0 2 0 1 2 3 1 3 2 1 1 3 1 0 0 1 1 3 2 3 1 3 0 2 0 1 2 0 0 1 0 2 0 0 0 0 1 1 0 1 3 2 3 3 0 1 0 1 2 1 0 2 0 1 1 1 3 0 3 3 1 0 0 1 0 2 2 3 2 2 3 0 1 3 1 2 0 2 3 1 1 1 0 1 3 0 0 1 0 0 1 3 2 3 2 3 2 3 3 3 2 2 2 3 2 1 0 2 2 0 0 3 0 3 0 2 1 1 3 1 3 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 2 0 2 2 2 0 0 2 2 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 2 2 2 0 2 0 0 2 0 2 0 2 0 2 2 2 2 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 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 2 2 2 0 2 2 0 0 2 2 0 2 2 2 0 0 0 2 0 0 0 2 0 2 2 0 0 0 2 2 2 2 generates a code of length 89 over Z4 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+59x^78+104x^79+152x^80+202x^81+228x^82+270x^83+203x^84+218x^85+207x^86+212x^87+221x^88+186x^89+219x^90+196x^91+217x^92+164x^93+149x^94+172x^95+139x^96+106x^97+88x^98+90x^99+63x^100+62x^101+55x^102+40x^103+23x^104+18x^105+17x^106+4x^107+5x^108+4x^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 3.45 seconds.