The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2+2 1 1 X+2 1 1 0 1 1 X^2+X 1 1 X^2+2 1 1 X+2 1 1 0 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 2 1 1 X^2 1 1 X^2+X 1 1 1 X+2 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 0 X^2+X+2 X^2+2 X 0 X^2+2 X^2+X X+2 X 1 1 X^2 X^2+2 2 0 1 X+1 X^2+X X^2+1 1 X^2+X+3 X^2+2 1 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 X^2+X+3 1 X+2 3 1 0 X+1 1 X^2+X X^2+1 1 X^2+2 1 X^2+X+3 X+2 3 1 2 1 X+1 X^2+X 1 X^2+X+3 X^2+1 1 X^2 X+2 3 1 X^2+X+2 0 X X^2+2 0 X^2+X X^2+2 X+2 X+3 X^2+3 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X^2+X+3 3 X^2+X+3 3 X+3 X^2+3 X^2+X+1 1 0 X^2+X 2 X^2+X+2 X^2+2 X+2 X^2 X 1 1 1 1 1 1 1 1 X^2+X X+3 X+3 1 1 1 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 0 0 2 0 2 2 2 2 0 0 2 0 0 2 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 0 2 2 2 2 0 0 2 0 2 2 0 2 0 2 0 2 0 0 2 2 2 0 0 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 2 0 2 0 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 2 0 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 2 2 2 0 2 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+256x^90+124x^91+126x^92+244x^93+643x^94+148x^95+123x^96+76x^97+251x^98+48x^99+5x^100+1x^118+1x^122+1x^132 The gray image is a code over GF(2) with n=752, k=11 and d=360. This code was found by Heurico 1.16 in 0.703 seconds.