The generator matrix 1 0 0 0 1 1 1 1 2 1 X+2 X^2+X+2 1 X^2+X 1 1 1 1 X^2+2 0 X^2+X 1 1 2 1 2 0 1 1 X^2+X+2 X^2+X+2 X+2 1 1 1 X^2+2 1 1 1 1 X^2+X X 1 X^2 1 X+2 X 1 X^2+X 1 X+2 X^2+X 1 X+2 1 1 1 2 1 X^2 0 1 1 X^2+X X^2+X 1 1 X+2 1 1 X^2 X^2+X 1 1 X+2 1 X^2+X 1 1 X^2 0 X^2 1 1 X^2+2 1 1 1 1 X^2 1 X 1 1 1 X^2 1 1 1 0 1 0 0 X X^2+1 2 X^2+3 1 X^2+X+2 X 1 3 1 X^2+X+3 X+2 1 X^2+X+1 1 X^2+X 1 X^2+X+3 X^2+2 X+2 X^2+X+3 1 1 0 X X^2+X 1 1 X^2+2 X^2+X+1 X^2+2 1 X+1 1 X+2 X+1 X^2 1 X^2+X+2 1 X X^2+X+2 1 X 2 X^2+X+3 X+2 X X^2+X+2 1 1 X X^2+2 X^2+2 X^2+3 0 X^2+X X^2 X^2 1 1 X^2+X+1 3 X^2 X+1 X^2+3 1 1 0 X^2+1 1 X+3 X^2 X+1 X^2+X 1 1 1 3 X^2+X+2 2 X^2+X+3 X^2+X+2 2 X^2+X+2 X^2 X+3 1 X+2 1 X+1 1 X^2 X^2+1 0 0 0 1 0 0 2 X^2+3 X^2+1 1 X^2+1 1 3 X^2+X+2 X+2 3 0 X^2+X+1 X^2 X+1 X+2 X^2+X X X^2+X+3 1 X+3 X X^2+1 X^2+1 X+2 1 X+3 X^2+X X^2+X+2 X^2+X+3 X^2+X 0 X^2 3 X^2+1 2 X 1 X^2+X+2 X X^2+X+3 X^2+2 X^2+1 1 1 X^2+X+2 1 1 X^2+1 X^2+1 X+3 X+1 0 1 X+2 X^2+2 X^2+2 X^2 X+1 X^2+2 X^2+2 X X^2+X+1 1 X+3 X^2+3 2 X^2+X+2 X^2+X X^2+2 X^2+2 X+1 1 X X^2+X+3 X X^2+3 X 0 X+3 1 X^2+3 X^2+X+2 X X^2+X+1 1 X^2+3 X^2+3 X+1 X^2+X+3 X^2+X+3 X^2+X X+1 1 0 0 0 0 1 1 X+3 X+1 2 X^2+X+3 X+2 X^2+X+1 X^2+X+2 X^2+X X+3 X+1 X^2+X+3 X+1 X^2+X X^2+X+2 1 3 3 X^2+X+2 1 X X 3 1 X^2+2 2 X X^2+2 X^2+2 2 X+3 X^2+3 X+3 1 X^2 X+2 1 X^2+X+1 X+1 0 X+2 1 1 1 1 X^2+X+3 X^2+X 1 X^2+X+1 0 X+1 X^2+X+2 X+2 X^2+X X^2 1 1 1 0 X^2+X+1 X^2+1 X^2+X+3 0 X+3 X^2+1 X+2 X+2 X^2+X+2 X^2+1 0 X X^2+X+2 0 0 X^2+1 X^2+X+3 X+3 X^2+2 X^2+3 X+3 2 X^2 X^2 X^2+X+2 X^2+3 X^2+X+1 X+2 3 X+1 X^2+3 3 X^2+X+3 X^2+X+1 X^2 2 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 2 2 0 2 2 0 2 0 2 2 0 2 2 0 0 2 2 0 0 0 2 0 2 2 2 2 2 0 0 2 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+126x^90+1118x^91+2318x^92+4240x^93+5904x^94+8652x^95+10315x^96+11988x^97+13565x^98+14040x^99+14368x^100+12992x^101+10467x^102+8376x^103+5080x^104+3412x^105+1902x^106+1042x^107+544x^108+372x^109+132x^110+44x^111+24x^112+16x^113+15x^114+8x^115+6x^116+4x^117+1x^118 The gray image is a code over GF(2) with n=792, k=17 and d=360. This code was found by Heurico 1.16 in 242 seconds.