The generator matrix 1 0 0 1 1 1 X X+2 1 1 X+2 1 1 2 1 X^2 1 X^2+2 1 1 X 1 1 X^2 1 X^2+2 2 1 X^2+X 1 X^2+X 1 1 2 X+2 1 1 1 X+2 1 X^2+X+2 1 X^2+X+2 X+2 X^2+2 1 1 1 1 1 1 1 X+2 X 1 X^2+X+2 X 1 1 1 1 1 0 0 X^2+X X^2+X+2 1 0 1 1 1 1 1 1 X^2+X 1 1 2 1 1 2 1 0 X^2+2 X^2 X^2 1 1 2 X^2+X 1 1 1 1 0 1 0 0 X^2+1 X+1 1 2 0 X+3 1 2 X^2+1 1 0 1 3 1 1 X^2+X X+2 X^2+2 X+1 X^2+X+2 X^2+X+2 1 1 X^2+X+3 1 1 1 X^2+3 X 1 X X^2 X+3 X^2+2 X^2 X^2+X 1 3 0 1 1 X+1 X^2 X X^2+X+3 X^2+X+1 0 X^2+X+2 1 2 X^2+X 1 1 X+2 X^2+3 X+3 X^2+1 X+1 0 1 X 1 X 1 X^2+2 X+3 X^2+X+1 X^2+X+3 X^2+3 X^2+X+2 1 X^2+1 X^2 X^2+2 X+3 X^2+2 1 1 X^2+X+2 1 0 X+2 X+3 2 X 1 X^2+1 2 3 2 0 0 1 1 1 0 X^2+1 1 X 1 X 1 X X^2+X+1 X^2+X X^2+2 0 X^2+X+3 X+3 X^2+X+3 1 2 X^2+X+1 1 X^2+3 X+2 1 X X^2+1 X^2+1 X^2 0 X^2+X+2 3 1 X^2+3 X^2+3 X+1 1 X 2 X+1 1 X^2+1 X^2+2 0 X^2+X+1 X^2+2 X+2 X+1 X X^2+X+3 X+3 1 1 X^2+X+3 X^2+X+2 X^2+3 X X^2+2 X^2+1 X^2+X 1 X^2+X 1 0 X^2+2 X^2+X+3 X^2+2 X+3 2 3 X^2+X+3 X^2+X+3 1 X^2+1 1 1 X^2+3 X+1 3 3 1 3 1 1 X^2+2 X^2+X+2 1 3 X^2+X+3 X^2+X+2 X^2+X+2 X^2 0 0 0 X X+2 2 X+2 X+2 X+2 0 X 2 X 2 2 X^2+X X^2+X+2 X+2 X^2+X X+2 2 X X^2 X+2 2 X^2 X^2 2 2 X^2+2 X X^2 X X X^2+X+2 X^2+X X X^2+2 2 X^2 2 X^2 X^2+X+2 X^2+X X^2+2 X+2 X X X^2+X+2 X X^2+2 X^2+2 0 X^2+2 X X+2 X^2+2 X^2+2 0 X^2+2 0 X X^2 X^2+X+2 X+2 X^2+2 X^2 X^2+2 X^2+X+2 X+2 X^2+X+2 X^2+2 X X^2+X+2 X^2 X^2+X X^2 X^2+X+2 X^2+X+2 X^2 2 X^2+2 X^2+2 X+2 0 X^2+X 2 X^2+X X+2 0 2 X^2+X+2 X X^2+X+2 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+258x^87+1040x^88+1582x^89+2483x^90+2888x^91+3392x^92+3148x^93+3895x^94+3476x^95+3093x^96+2444x^97+1920x^98+1292x^99+920x^100+338x^101+281x^102+122x^103+84x^104+50x^105+23x^106+12x^107+13x^108+6x^109+6x^110+1x^116 The gray image is a code over GF(2) with n=752, k=15 and d=348. This code was found by Heurico 1.16 in 15.4 seconds.