The generator matrix 1 0 0 1 1 1 0 2 0 X^2 1 1 1 1 1 1 X^2+X+2 X^2+X+2 1 1 X^2+X X^2+X 1 1 X^2+X+2 1 X 1 0 1 X 1 2 1 1 1 X^2 1 1 1 1 X^2+X+2 X 1 X X^2+2 1 2 1 X+2 1 X^2+2 1 1 1 2 X^2+X 1 X^2+2 1 X^2+2 1 1 1 X^2+X 1 X+2 X^2 1 1 1 1 2 1 X^2+2 X^2+X 2 1 1 X^2+X 1 2 1 1 1 X^2+X+2 1 1 1 0 1 1 X^2+2 1 1 1 X+2 1 0 1 0 0 X^2+3 X^2+1 1 X^2+X 1 1 2 X^2+1 X^2+1 0 X+3 X+2 X^2+X+2 1 X+2 X^2+X+3 1 X^2 X^2+X X+2 1 X+1 1 X^2+X+1 1 X^2 1 X^2+X+2 2 X+1 X^2+3 2 1 X^2+X+2 X^2+2 3 X^2 1 X X^2+X+1 1 1 X+2 1 1 X^2+X X+2 X X^2+1 3 1 1 1 X^2+X X 1 1 X+3 X^2+X+3 X^2+2 1 X^2+X 1 1 3 X^2+2 X X^2+X+1 1 2 X^2+2 1 1 X^2+X+3 2 1 X^2+X+2 X X^2 X^2+X+1 X^2+1 0 X^2+X X^2+X+2 X+1 1 X^2+X+1 X^2+2 1 X X^2+2 3 1 X^2+2 0 0 1 X+1 X+3 2 X^2+X+1 1 X^2+X+2 1 X^2+X+2 X^2+X X^2+3 X^2+1 X+3 X+3 1 X^2+X X^2 2 3 1 1 X+2 X^2 X X^2+X+1 3 X^2+3 X+3 X X^2+X+2 1 X^2+1 X 1 X^2+3 X^2+X+3 X^2+2 X^2+X+2 X 2 1 X+1 X+2 0 X^2+X X X^2+1 1 1 1 X^2+X+2 0 X+1 X^2+X+1 X^2+3 X^2+2 1 X+3 X^2+X+1 X^2+3 X^2 X^2 1 3 X^2 X^2+X+2 X^2+X+1 X+1 X+2 X+2 X^2+X+2 X^2+X+2 1 X+1 0 X^2+X X X^2+X+2 2 1 X^2+X+3 X^2+X+1 X^2+2 1 X^2+1 X+1 X+3 X^2+3 X+3 X+3 0 X^2 1 X^2+1 X+3 X 0 0 0 X^2 X^2 0 X^2 X^2+2 X^2+2 0 X^2 X^2 2 2 2 0 0 X^2+2 2 2 0 X^2+2 X^2 X^2 2 X^2+2 X^2+2 X^2+2 2 X^2+2 X^2 X^2+2 X^2+2 X^2 X^2+2 0 X^2 X^2 X^2 0 2 X^2 2 0 2 X^2 2 0 X^2+2 X^2 X^2+2 2 2 X^2+2 0 2 X^2+2 X^2 X^2 X^2 X^2+2 0 X^2 X^2+2 X^2 0 0 X^2+2 2 2 0 2 X^2 0 0 X^2+2 2 X^2 2 0 0 0 X^2+2 2 2 X^2 2 0 X^2 X^2+2 X^2+2 0 0 X^2+2 X^2+2 X^2+2 2 X^2 generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+254x^92+852x^93+1527x^94+1678x^95+1952x^96+1592x^97+1807x^98+1658x^99+1365x^100+1088x^101+970x^102+532x^103+415x^104+240x^105+195x^106+122x^107+71x^108+36x^109+10x^110+10x^111+4x^112+2x^114+2x^116+1x^118 The gray image is a code over GF(2) with n=784, k=14 and d=368. This code was found by Heurico 1.16 in 5 seconds.