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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X 1 1 0 X X^2+2 X^2+X 0 X^2+X X^2+2 X+2 0 X^2+X X+2 X^2+2 0 X^2+X X^2+2 X 0 X^2+X X+2 X^2+2 X^2+X 0 X X^2+2 0 X^2+X X+2 X^2+2 2 X^2+X+2 X^2 X+2 0 X^2+X X^2+2 X+2 2 X^2+X+2 X^2 X 0 X^2+X X^2+2 X+2 2 X^2+X+2 X^2 X 0 X^2+X 2 X^2+X+2 X+2 X^2+2 X^2 X+2 X^2+X 0 2 X^2+X+2 X^2+2 X+2 X^2 X+2 2 X^2+X+2 X^2 X 0 2 2 X^2+X X^2+X+2 X^2+X+2 X^2 X^2+2 X X X^2 X+2 0 2 0 X^2 X^2 2 X^2+X X X+2 X^2+X X^2+2 X^2 0 0 2 0 0 0 2 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 2 2 0 2 2 2 2 0 0 2 2 2 0 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 0 0 2 0 2 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 2 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 2 0 0 2 2 2 2 0 0 0 2 2 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 0 0 2 0 0 2 2 0 0 0 0 2 0 2 0 2 2 0 0 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 2 0 0 0 0 2 0 2 0 2 2 2 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 2 0 2 0 2 0 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 0 0 generates a code of length 92 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+201x^88+16x^89+160x^90+368x^91+560x^92+368x^93+160x^94+16x^95+194x^96+3x^104+1x^176 The gray image is a code over GF(2) with n=736, k=11 and d=352. This code was found by Heurico 1.16 in 3.73 seconds.