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 X X X X X X X X 1 X X 1 X 1 X 1 X X X X X X X X X X X X X X X X X X 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 X 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 0 X^2+2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 2 X^2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 X^2+2 0 0 2 0 2 0 2 0 2 0 2 0 2 0 2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2+2 X^2+2 X^2+2 X^2+2 2 X^2 2 X^2+2 X^2 2 X^2+2 2 X^2 0 2 X^2 X^2+2 X^2 X^2 0 2 X^2 0 2 0 2 X^2+2 0 0 0 2 0 0 0 2 0 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 2 2 2 0 0 0 0 0 2 2 2 2 0 0 2 2 2 2 2 2 0 0 2 2 0 0 0 2 2 0 0 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 2 2 2 2 2 0 0 0 2 2 0 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 0 2 2 0 2 0 0 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 2 0 0 0 2 2 0 0 2 2 0 0 2 2 2 2 0 2 2 0 0 0 2 2 0 0 0 2 0 2 2 0 2 0 2 0 2 0 2 0 2 2 2 0 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 0 0 0 generates a code of length 94 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+62x^93+415x^94+31x^96+2x^125+1x^126 The gray image is a code over GF(2) with n=752, k=9 and d=372. This code was found by Heurico 1.16 in 1 seconds.