The generator matrix 1 0 0 0 1 1 1 X 1 1 X 1 X^2+2 X^2+X 1 1 2 X+2 X 1 1 1 1 X 1 X^2+2 X^2+X+2 1 2 1 X^2 1 1 1 X^2 1 2 2 1 1 X^2+2 1 X+2 1 1 1 X^2+2 X^2+X+2 X^2+X+2 1 1 1 1 1 1 X^2 1 1 X+2 1 X 1 1 1 2 1 1 1 X X^2+X+2 X^2+2 1 X^2 X^2+2 0 X+2 1 X^2+2 1 0 1 0 0 0 X^2+3 X+3 1 1 X+1 X^2+2 X^2 1 1 2 X^2+X+2 1 1 X X 2 X X^2+X+1 1 3 0 1 X^2+X 1 X+1 X X^2+3 X^2 X+1 1 X^2+X+1 1 1 1 X^2+2 X+2 X+1 2 X+1 X^2+3 X^2+X 2 X^2+X+2 1 X^2+X+2 X^2+X 3 2 0 X^2+X+2 1 1 X^2+X+2 1 X X+2 2 X^2+2 X^2+3 X^2+2 2 0 X^2+X+3 1 1 X^2+2 X^2 X X+2 0 X+2 X+1 1 X^2 0 0 1 0 X^2 2 X^2+2 0 1 X^2+X+3 1 3 X+1 3 3 X+1 X^2+X+1 X^2+X 1 X X^2 X^2+X+1 X^2+X+2 X+3 2 X+2 X^2+2 X+1 X+1 X^2+X+1 1 X^2+X+3 3 X^2+X+2 X 0 2 X^2+X+2 X^2+3 X+1 X 2 1 X X^2+1 X^2+2 1 1 X^2+X X^2 3 X X^2+X+3 X+1 X^2+X X^2+3 X^2+X+3 X^2+X+2 X^2+X+1 X+2 X^2 X+3 X^2+X+3 2 1 X^2+X+2 X^2+X+2 X+2 X^2 0 X^2+2 X^2+1 1 X^2+2 1 1 X^2+X+2 3 X^2 0 0 0 1 X^2+X+1 X^2+X+3 2 1 2 X+3 X^2+1 X+1 X^2 3 X^2 X+2 3 X+3 X+3 X^2+X+3 X^2+X+2 1 X^2+X+1 X^2 X+2 1 X^2 0 X^2+X+3 X^2+1 X^2+2 X^2+X 3 X+2 X+2 X+1 X^2+X+2 X^2+1 X^2+X X 1 X^2+3 X+3 X^2 1 X^2+2 1 X^2+X+2 X+3 X^2+X X^2+3 X^2+2 X^2+2 1 X^2+X+3 X^2+3 0 X^2+X+2 X^2+X 1 1 X^2+X X+3 2 X^2+3 X^2+1 X^2+2 X^2+3 X^2+X X^2+X+3 1 2 X+2 1 X+2 X^2+2 2 X^2+X 2 0 0 0 0 2 0 2 2 0 2 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 2 2 0 2 0 0 2 2 0 2 0 0 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 generates a code of length 79 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+286x^71+1615x^72+3020x^73+5479x^74+7360x^75+11956x^76+11764x^77+16581x^78+14702x^79+17114x^80+12582x^81+11816x^82+6656x^83+5080x^84+2514x^85+1495x^86+636x^87+218x^88+88x^89+47x^90+20x^91+10x^92+14x^93+6x^94+4x^95+6x^96+2x^97 The gray image is a code over GF(2) with n=632, k=17 and d=284. This code was found by Heurico 1.16 in 184 seconds.