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 1 1 1 1 1 1 2 X^2 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 2 X^2+X+2 X^2 X+2 0 X^2+X X+2 X^2+2 X^2+X 0 X+2 X^2+2 0 X^2+X X+2 X^2+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 X^2+X 0 X^2+2 X+2 2 X^2+X+2 X^2 X 0 X^2+X 0 X^2+X 2 X^2+X+2 X^2+2 X^2+X+2 X^2 X^2+2 X+2 X X+2 2 X^2 X 0 X^2+X 0 2 2 X^2+X X^2+X+2 X^2+X+2 X^2+2 X^2 X^2+2 X+2 X X+2 0 2 0 X^2+X+2 X^2+X+2 X^2+X+2 X^2+X+2 2 X^2 X^2+X+2 X+2 2 X X+2 2 X^2+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 0 2 0 2 2 2 0 0 2 0 2 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 2 2 2 0 0 2 2 0 2 2 2 2 0 0 0 2 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 2 2 2 2 2 2 0 0 0 0 0 2 0 0 0 0 2 0 2 2 0 0 0 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 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 2 2 2 0 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 0 2 2 2 2 0 0 2 0 0 2 0 2 2 2 2 2 0 0 0 2 0 2 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 2 2 2 0 2 2 0 2 0 0 2 2 2 0 2 0 0 2 0 2 2 2 2 2 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 2 0 0 2 2 0 0 0 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+66x^89+58x^90+78x^91+279x^92+296x^93+476x^94+332x^95+286x^96+66x^97+42x^98+38x^99+9x^100+20x^101+1x^184 The gray image is a code over GF(2) with n=752, k=11 and d=356. This code was found by Heurico 1.16 in 1.3 seconds.