The generator matrix 1 0 1 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 1 2 1 X^2+X+2 1 1 1 X^2 1 1 X 1 1 0 1 X^2+X 1 1 0 1 1 X 1 1 1 1 X^2 X 1 1 1 1 X^2+X X^2 1 X X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 X 1 X^2+X X^2 1 1 1 1 1 1 X^2+X 1 1 X^2+2 X^2 1 1 0 1 2 X^2+X 2 0 1 X+1 X^2+X X^2+1 1 3 1 X^2+2 X+1 X+2 1 X^2+X+3 2 1 X^2+X+2 1 X^2+3 X^2+X+1 X^2 1 X 1 1 0 X+1 1 X^2+X 1 X^2+X+3 X^2+3 1 0 X 1 1 X^2 X X+3 1 1 X^2+X X^2+1 X^2 X^2+X+3 1 1 3 X X X^2+1 X^2+X+1 X^2+1 X^2+X+3 1 X^2+X+3 1 3 X^2+X+3 X^2+X+1 X^2+1 X+3 3 1 X+1 X^2+1 X^2+1 X^2+X+3 1 2 X+2 X^2+1 1 X 1 1 X+1 X+1 X^2+X+1 0 X^2+X+3 3 1 2 X^2+1 1 1 X^2+X+1 X^2+X X X+3 1 1 1 0 0 X^2 0 0 2 0 2 2 2 2 0 2 X^2 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2 X^2+2 X^2+2 X^2+2 X^2 0 2 0 0 0 2 X^2 X^2+2 X^2 X^2 X^2 X^2+2 0 0 X^2 X^2 0 X^2+2 2 X^2+2 X^2+2 X^2+2 0 2 X^2+2 2 X^2+2 2 0 X^2 2 0 X^2 X^2+2 X^2 X^2+2 0 2 2 X^2 0 X^2+2 2 X^2+2 0 X^2 0 X^2+2 X^2 X^2 2 X^2 2 X^2+2 0 2 2 X^2 0 0 X^2 0 2 X^2 0 X^2 X^2 X^2+2 0 X^2+2 0 0 0 2 0 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 2 0 0 2 2 0 0 2 0 0 0 2 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 0 0 2 0 2 2 2 2 2 2 2 2 0 2 0 2 2 0 0 0 2 0 0 0 0 2 2 0 0 0 0 0 0 0 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 0 2 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+198x^89+225x^90+526x^91+415x^92+696x^93+365x^94+456x^95+278x^96+442x^97+192x^98+150x^99+39x^100+66x^101+11x^102+20x^103+1x^104+2x^105+5x^106+2x^108+2x^109+2x^113+1x^130+1x^138 The gray image is a code over GF(2) with n=752, k=12 and d=356. This code was found by Heurico 1.16 in 1.33 seconds.