The generator matrix 1 0 0 1 1 1 0 2 0 X^2 1 1 1 1 1 X+2 X^2+X+2 1 1 X^2+X 1 1 X^2+X+2 X+2 1 1 X 1 1 X^2 X+2 1 1 1 X X^2+X X^2+X 1 1 X^2 1 X^2+2 X^2+2 2 1 1 1 1 X+2 1 1 X^2+X X^2+X+2 1 X^2+X X^2+X+2 1 2 1 X^2+X 1 1 X+2 2 1 1 X+2 1 2 1 1 1 0 X^2+2 1 0 1 0 X^2+X+2 1 1 X^2+2 1 X+2 X^2+X 1 1 X^2+2 1 1 1 1 1 0 1 0 0 X^2+3 X^2+1 1 X^2+X 1 1 2 X^2+1 X^2+1 0 X^2+X+1 1 2 X+3 X^2+X+2 1 X^2+X X+3 1 X^2+X X+3 X^2+X 1 X^2+X X^2+3 X^2 1 X+2 X^2+X+1 X+2 1 1 X^2 X^2+X+1 3 1 3 1 X^2+X+2 1 X^2+X+3 X^2+X 1 X^2+X+3 1 X^2+3 2 1 1 X^2+X+2 X 0 3 1 1 1 X^2+X+3 X^2 X^2+X X^2 X^2+X+2 0 1 X^2+X+1 1 X^2+1 X^2 2 X^2 1 X^2+2 1 0 1 1 X+3 X+3 X^2+X+2 0 X+2 1 X 1 1 X^2 X^2+1 X X+2 0 0 0 1 X+1 X+3 2 X^2+X+1 1 X^2+X+2 1 X^2+X+2 X^2+X X^2+3 3 X^2+X+1 X+2 1 X^2 X+1 3 X^2+2 X+2 0 1 X^2+3 X^2+X X^2+X+3 1 X+2 1 X+3 X^2+X+3 X+3 X^2+2 X+2 1 1 X^2+3 2 X^2+3 X^2+3 2 1 X^2+X+1 0 X^2+X+1 X^2+X+3 X+2 X^2+2 X^2+1 X^2+2 X^2+3 X^2+X+1 3 1 1 X+2 X+1 X^2+X+1 2 2 X+1 1 1 X^2+X X+1 X^2+X+2 1 0 X^2+X+1 0 X^2+X+2 1 X^2+1 X^2+2 X X^2+3 X^2+1 X^2+3 X^2+1 X^2+X+3 1 3 1 X^2 X^2+3 X^2+X+3 X X^2+X+1 X^2+2 1 X+2 0 0 0 0 X^2 X^2 0 X^2 X^2+2 X^2+2 0 X^2 X^2 2 2 2 X^2 0 2 X^2+2 0 X^2 X^2 2 X^2 X^2+2 0 X^2+2 2 0 X^2+2 2 X^2 X^2+2 X^2+2 2 X^2 X^2+2 2 X^2+2 2 X^2 2 0 0 X^2+2 0 0 2 0 X^2+2 2 X^2 0 X^2+2 X^2+2 X^2 X^2+2 X^2+2 2 X^2+2 0 0 2 X^2 X^2 X^2+2 X^2+2 X^2 X^2+2 X^2+2 X^2 0 2 X^2+2 X^2+2 0 X^2 X^2 2 2 0 2 X^2+2 X^2 X^2 0 X^2+2 2 2 X^2+2 X^2 0 X^2+2 generates a code of length 93 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 87. Homogenous weight enumerator: w(x)=1x^0+166x^87+933x^88+1266x^89+1736x^90+1846x^91+2204x^92+1564x^93+1799x^94+1194x^95+1164x^96+810x^97+683x^98+362x^99+319x^100+136x^101+83x^102+58x^103+18x^104+16x^105+10x^106+4x^107+9x^108+2x^111+1x^114 The gray image is a code over GF(2) with n=744, k=14 and d=348. This code was found by Heurico 1.16 in 4.53 seconds.