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 1 X X+2 1 2 X+2 X^2 1 1 1 1 1 1 X^2+2 1 1 2 1 1 X^2+X+2 0 1 X^2+X+2 X 1 X+2 1 X+2 X^2 1 1 1 1 1 X^2 1 0 X^2+X+2 1 1 X^2+X 1 X 1 X^2+2 1 1 1 1 1 1 X^2 0 1 0 X^2+X+2 X^2+X+2 X^2 X+2 X^2+X X^2+X+2 2 X^2+X 1 1 1 X^2+X 1 X+2 X^2+2 X^2+2 X^2+X 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+X+1 X+3 1 1 X^2+X+2 X^2+2 1 1 2 X^2+X+3 X X+1 X^2+X+2 1 1 X^2 X^2+X+3 X^2+X+2 2 X+2 1 1 0 X 1 X^2+2 1 X+1 X^2+2 1 X^2+X X+3 1 X^2+X 3 1 0 1 1 2 3 1 0 X+2 X^2+X+2 1 X^2+X X^2+X+1 0 X 1 X^2+1 X^2 X+2 X^2+3 X^2+X+2 1 1 1 X^2+2 1 1 1 1 3 1 2 1 3 1 X^2 1 1 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 3 X+2 X^2+X+1 0 X^2+X+2 1 X+2 X^2+3 X^2+X+1 X+1 X X^2 X^2+1 X^2+X X^2 0 X^2+3 1 X^2+X+2 2 X+1 X+2 1 1 X^2+3 X^2+X+3 X^2 3 1 X^2+X+1 0 X X+1 X^2+X+3 0 X^2+3 X+2 X^2 X+3 1 X+2 X^2+1 2 1 X^2+X+2 1 X+1 2 X^2+X X^2+2 X^2+3 X^2+1 1 1 X+2 1 X^2+2 X^2 X+3 1 X X X^2+2 3 X^2+X+3 X^2+2 3 X X+1 X+1 1 3 X^2+X+2 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 2 X^2+2 2 X^2 2 X^2+2 X^2+2 0 X^2+2 2 0 X^2 X^2 0 0 2 X^2 2 2 X^2+2 0 0 2 X^2 2 X^2+2 0 X^2+2 0 2 X^2 0 X^2 X^2+2 2 0 0 X^2 2 X^2+2 X^2+2 0 X^2+2 2 X^2 0 X^2 0 X^2+2 X^2 0 X^2+2 2 X^2+2 2 X^2 X^2 X^2 2 X^2 X^2 2 X^2+2 2 X^2+2 X^2+2 X^2+2 2 X^2 X^2 generates a code of length 96 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+250x^90+880x^91+1280x^92+1882x^93+1793x^94+1980x^95+1654x^96+1664x^97+1266x^98+1186x^99+757x^100+696x^101+440x^102+276x^103+174x^104+104x^105+52x^106+20x^107+2x^108+6x^109+7x^110+8x^111+3x^112+2x^115+1x^116 The gray image is a code over GF(2) with n=768, k=14 and d=360. This code was found by Heurico 1.16 in 4.78 seconds.