The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 1 0 1 1 X^2+X X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 X+2 1 1 0 1 X^2+X 1 1 X^2+2 1 1 1 1 X+2 1 1 0 1 1 X^2+X 1 1 2 1 1 X^2+X+2 1 1 0 X^2+X 1 1 1 1 X^2+2 1 1 X+2 1 1 1 X+2 1 2 1 1 1 X^2+X+2 1 1 1 1 X^2+X X^2+X+2 1 X 1 0 1 1 0 1 X+1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 1 3 X+1 0 1 X^2+X X^2+1 1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 3 1 X+2 X^2+X 1 X+1 1 0 X^2+1 1 X^2+2 X^2+X+3 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X+2 X^2+3 1 X^2+X X^2+1 1 1 2 X+3 X^2+2 X^2+X+3 1 X+2 3 1 X^2+2 X+2 X^2+X+3 1 X^2+3 1 X+3 1 2 1 X 0 X^2+1 X^2+3 1 1 2 1 X^2+X+1 1 X^2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 0 0 2 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 2 0 0 2 2 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 0 0 2 2 2 0 2 2 0 0 0 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 0 2 2 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 2 0 2 2 2 0 0 0 2 2 0 2 0 0 0 2 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 0 2 0 0 2 2 2 2 2 0 2 0 0 0 2 2 2 2 2 0 0 0 2 2 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 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+160x^89+512x^90+560x^91+79x^92+496x^93+486x^94+496x^95+75x^96+560x^97+504x^98+160x^99+4x^104+1x^124+2x^126 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 0.937 seconds.