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 1 1 X^2+2 1 1 X+2 1 1 0 1 X^2+X 1 1 1 2 1 1 X^2+X+2 1 1 1 X^2+2 X^2+2 1 X+2 X+2 1 1 1 1 0 X^2+X+2 1 1 1 1 1 1 1 X^2 X 1 1 1 1 1 1 1 1 1 2 1 1 1 1 X^2+X 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+2 1 X+1 1 0 X^2+1 X X^2+X+3 1 X^2+2 3 1 0 X+1 1 X^2+1 1 X^2+X X+2 X+3 1 2 X^2+3 1 0 X+1 X^2+1 1 1 X^2+X 1 1 X^2+2 X^2 X^2+X+3 3 1 1 X+2 X^2+X+3 X^2+2 3 X+3 X^2+3 X+2 1 1 2 X X^2+X+2 0 2 X+1 X+3 X^2+X 1 1 X+2 X X^2+X+1 X^2+X 1 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 0 2 2 2 0 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 0 0 2 0 2 0 2 2 0 0 2 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 2 2 0 2 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 2 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 0 0 2 2 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 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 0 0 2 2 2 2 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 0 2 2 2 0 2 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 2 2 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 2 0 0 0 2 0 0 2 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 2 2 0 0 2 0 2 2 2 0 0 2 0 2 2 0 2 2 0 0 0 2 0 0 generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 93. Homogenous weight enumerator: w(x)=1x^0+200x^93+429x^94+600x^95+242x^96+352x^97+455x^98+352x^99+230x^100+600x^101+427x^102+200x^103+4x^104+1x^106+1x^124+1x^132+1x^136 The gray image is a code over GF(2) with n=784, k=12 and d=372. This code was found by Heurico 1.16 in 47.6 seconds.