The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 X^2 1 X X^2 1 X^2+2 X 2 X^2 1 1 X 1 X^2+2 X^2 1 X X 1 X^2+2 1 0 X 0 X 0 2 X+2 X X^2 X^2+X X^2 X^2+X+2 X^2 X^2+2 X^2+X+2 X^2+X+2 0 X^2+2 X X^2+X+2 X 0 2 X+2 X^2 0 X^2+X X+2 X^2 X^2+X+2 X^2+X 0 X^2 X X+2 0 2 X 0 X X^2+X+2 X^2 2 X^2+2 X X^2+X+2 2 X+2 X^2 X^2+2 X^2+X X^2+X+2 X^2+2 X^2 X^2+2 X^2 X+2 X 0 2 X^2+X+2 X^2+X X^2+X X^2+X+2 0 2 X^2 X^2+X+2 X^2+X X^2+2 X^2+X+2 0 2 X X^2+X X^2+X X 2 X X+2 X X X^2+X 2 X^2 X^2+X+2 X X^2 0 X^2+X+2 X+2 X^2+X+2 0 X^2 0 0 X X X^2+2 X^2+X+2 X^2+X X^2 X^2 X^2+X+2 X 0 2 X^2+X+2 X+2 X^2 0 X+2 X X^2 X^2+X+2 X X^2+2 X^2+2 X^2 X^2+X X^2+X+2 2 X^2+X X+2 2 2 2 X+2 X^2 X X^2 X^2 X+2 X^2+X+2 X^2+2 X 2 X X^2+X X^2 X^2 X+2 X^2+2 X^2+2 X^2+X+2 X^2+X+2 2 2 X^2+X X^2+X 2 2 X^2+X+2 X^2+X+2 X X 0 0 0 X^2+X+2 X 2 2 X X^2+X X^2+X+2 0 X^2+2 X^2+X X^2+X X^2 X^2+X X^2+X+2 X^2+X+2 X+2 X^2 0 2 X 0 X^2+2 X X+2 X^2+X X+2 X X X 0 0 0 2 0 0 2 0 2 0 2 2 2 2 0 2 0 2 0 2 0 0 2 0 0 2 2 2 0 2 0 2 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 2 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 2 0 0 0 0 2 2 2 0 2 0 2 0 2 0 2 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 2 2 2 0 0 0 0 2 2 2 0 0 0 0 2 0 2 0 2 2 0 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 2 0 2 2 2 2 2 2 2 2 2 0 0 2 0 0 2 2 0 0 0 2 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+112x^88+192x^89+344x^90+378x^91+239x^92+684x^93+354x^94+674x^95+205x^96+298x^97+230x^98+150x^99+135x^100+32x^101+19x^102+14x^103+12x^104+10x^105+12x^106+1x^158 The gray image is a code over GF(2) with n=752, k=12 and d=352. This code was found by Heurico 1.16 in 1.42 seconds.