The generator matrix 1 0 0 0 1 1 1 X+2 X^2+X 1 1 1 1 X^2+X X 0 1 1 X^2+2 1 1 1 X^2 X+2 1 X+2 1 X^2 X^2 X+2 X^2 1 1 1 1 1 X^2 1 0 X+2 1 1 1 X+2 2 1 X+2 1 X+2 1 1 X^2+2 X^2 1 X^2+X+2 1 1 X^2+2 2 X^2 X^2+X X^2 1 1 X^2+X 1 X^2+X+2 X^2+2 1 1 X^2 1 1 1 1 X^2 1 X^2+2 1 1 X+2 1 1 1 1 1 X^2+2 X+2 1 1 1 1 1 1 1 1 2 1 0 1 0 0 2 X^2+3 X+3 1 0 X^2+2 X^2 X^2+X+3 X^2+1 1 1 X+2 1 X^2+X+3 1 X^2+X X^2 X+2 1 X X^2 1 X^2+X+2 X^2 1 1 2 X^2+X+1 X^2+X+1 X^2+2 X^2+X X+1 1 X 1 X^2+X 2 X^2+1 1 1 1 X^2+3 X^2+X+2 X+3 2 X^2+X+3 X^2+3 X^2+X+2 1 X+1 1 X^2+X+1 X+1 1 2 1 X X^2+X X^2+1 0 1 0 1 1 X^2+1 X^2+X 1 X^2+3 3 X+1 X^2+1 X^2+X+2 X X 0 X+1 1 1 X^2+2 X 2 X^2+X+1 1 1 X X+3 X+2 X^2+X+2 0 X^2+X+2 X^2+X+2 X+1 X^2+X 0 0 0 1 0 X^2+2 2 X^2 X^2 1 X^2+X+1 1 X+3 3 X^2+1 3 1 X+3 X 0 X+2 X^2 X+1 X^2+X+3 1 X^2+3 0 X^2 X^2+X+2 X^2+1 X+1 1 X^2+X X+2 1 X^2+2 3 X+1 X+3 X^2 X+2 X+1 X^2+X X^2+1 X X^2+X+3 X+3 1 X+3 1 X+1 X^2+X 1 X X^2+3 X^2+1 2 X^2+X X^2+X+1 1 X^2+X+2 1 0 X^2+2 X^2+1 X^2+X+2 X^2+2 X^2 3 X+3 3 X^2+3 X^2+X+1 X^2+X X^2+1 X^2+X+2 X X^2+2 1 X X^2 X^2+X+1 X+3 X^2+X+2 3 0 X+1 X^2 X+2 X^2+1 X+2 X^2+X+2 X+3 3 X X^2+X+3 X 1 0 0 0 0 1 X^2+X+1 X^2+X+3 2 X+1 X^2+1 X+1 0 X+2 X^2+1 X^2+1 X^2+X+2 X^2+1 X^2+X+1 X^2+X X^2+3 X+1 X^2+X+2 X^2+2 X^2+X 0 X^2+1 X^2 X^2+X 1 0 X^2+3 X^2+X+3 X^2+X+1 X^2 X X^2+X+3 X^2+X+2 X^2+X+3 3 X+3 1 2 X+1 X^2+X+3 X^2 X^2+1 X+2 X^2+3 X^2+3 X X^2 3 X X^2+2 X^2 0 X X^2+1 2 1 X^2+X+2 X+1 1 X^2+2 X^2+X+3 1 X^2+1 1 X+2 X^2+X+1 X^2+3 3 X X+2 X^2+3 X^2 1 X X^2+2 X^2+2 X+3 X^2+X 3 X^2+3 1 X+1 3 X+1 X+1 X^2+2 2 2 X^2+2 3 X+2 X^2+X+3 X^2+X+2 X+3 0 generates a code of length 98 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+156x^90+1044x^91+2026x^92+3610x^93+4786x^94+5176x^95+6436x^96+6774x^97+6819x^98+6990x^99+5604x^100+5244x^101+3976x^102+2734x^103+1889x^104+1062x^105+625x^106+286x^107+136x^108+54x^109+52x^110+42x^111+4x^112+8x^113+2x^114 The gray image is a code over GF(2) with n=784, k=16 and d=360. This code was found by Heurico 1.16 in 57.6 seconds.