The generator matrix 1 0 1 1 1 X^2+X 1 X^2+2 1 1 1 X+2 1 1 2 1 X^2+X+2 1 1 X^2 1 X 1 1 1 1 1 1 0 1 X+2 1 X^2+X 1 1 X+2 0 1 1 1 X^2+2 1 X^2+X 1 1 X^2+2 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 X^2 X+2 2 1 X 1 1 1 1 1 0 X+2 1 1 1 1 X^2 1 X 1 1 X^2+2 X^2+X+2 1 1 1 X^2+X+2 1 0 1 X+1 X^2+X+2 X^2+3 1 X 1 X^2+X+1 2 1 1 X^2 X+1 1 X^2+1 1 X^2+2 X^2+X+3 1 3 1 0 X^2+2 X^2+X X+2 X^2+X X+1 1 X^2+1 1 X+3 1 3 X 1 1 X^2+1 2 X^2+X+3 1 X^2+X+2 1 3 X^2+X+3 1 X^2 2 X+2 X^2+X+2 X+2 X^2+2 X X^2+2 X+2 X^2+X 2 0 2 X+2 0 X+2 X^2+2 X^2+2 X^2+X+2 X^2+2 X+2 X+1 X^2+3 1 1 X X^2+X+3 X+2 X+3 X^2+3 3 X^2+1 0 1 1 X^2+X+2 3 X^2+X+2 0 1 X^2+X+2 1 X+1 X+1 1 1 X^2+X+1 X^2+3 X^2+X+3 1 X 0 0 X^2 X^2 X^2+2 0 X^2+2 0 X^2 X^2 X^2+2 0 X^2+2 2 X^2 2 X^2 0 2 X^2 2 X^2 0 0 0 2 2 0 2 0 2 X^2+2 X^2+2 X^2 X^2 X^2+2 X^2+2 X^2 X^2+2 0 2 X^2+2 2 0 X^2+2 X^2+2 X^2 2 0 0 2 2 2 X^2+2 X^2 X^2+2 X^2 2 2 0 2 X^2 X^2 X^2+2 X^2+2 2 0 0 X^2 X^2 0 X^2 2 0 X^2+2 2 X^2+2 0 X^2+2 X^2+2 0 X^2+2 X^2+2 0 X^2 X^2 X^2+2 2 0 X^2+2 X^2 0 X^2 2 2 X^2 X^2+2 0 0 0 2 0 2 2 2 2 0 2 0 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 0 0 0 2 2 2 0 2 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 0 0 2 0 2 2 2 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 0 0 0 0 0 2 2 2 0 0 0 0 2 0 2 2 2 2 0 2 0 0 0 2 2 2 0 0 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 0 generates a code of length 97 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+150x^92+480x^93+387x^94+442x^95+468x^96+430x^97+416x^98+392x^99+321x^100+316x^101+133x^102+90x^103+31x^104+22x^105+6x^106+4x^107+1x^108+4x^116+1x^130+1x^138 The gray image is a code over GF(2) with n=776, k=12 and d=368. This code was found by Heurico 1.16 in 1.44 seconds.