The generator matrix 1 0 0 1 1 1 X X+2 1 1 1 2 1 X^2+X+2 1 2 1 1 1 X+2 X 1 0 0 X^2+2 1 1 1 1 1 X^2+X X 1 X^2 1 1 X^2+X 1 1 X+2 1 X^2+X+2 1 X^2+2 1 2 X^2+2 1 1 X^2+X 1 X^2+X+2 1 1 2 X+2 1 1 1 1 1 1 X+2 1 X+2 0 X^2 X^2+X+2 X^2+X+2 0 1 1 X^2 1 X+2 2 1 1 X^2+2 X+2 X^2 0 0 X^2+X 1 1 X^2+X+2 X^2+X+2 1 2 X^2+X X^2+2 1 X^2 X+2 1 X^2 1 1 0 1 0 0 X^2+1 X+1 1 2 2 0 X+3 1 1 1 X^2+X 1 X+1 0 1 X^2 1 X^2 X^2+2 1 1 X^2+X+3 X+1 X^2+X+2 X^2 X^2+X 1 1 X^2+X X X+1 X+3 1 1 3 1 X^2+3 X X^2+X+2 1 0 1 X^2+2 X^2+X+3 X+1 2 X+1 1 X^2+X+1 X^2+X 1 X X^2+X+2 X^2+2 X^2+X+1 3 X^2+X+1 X^2+3 X^2+X X 1 1 1 X^2 1 X^2 X^2+3 3 X^2+X+2 X^2+2 1 X X^2+X+1 X^2+1 1 1 1 X^2+2 X+2 1 X 0 X 1 X 1 1 1 2 X^2 X+2 X^2+1 X^2 X^2+X+2 2 0 0 1 1 1 0 X^2+1 1 X^2+X X+3 X^2+X+1 X^2+3 0 2 2 X^2+X X+2 X^2+1 X^2+1 1 X^2+X+1 X 1 1 2 X^2+X+1 X^2 X+3 X^2+2 X^2+1 1 X^2 2 1 X^2+1 X^2+2 X+2 X+3 X X^2+X+3 X^2+X+1 1 X^2+X+1 X+2 X^2 X^2+X+3 1 X^2+3 X+2 1 X^2+X+2 X^2+X+2 X+1 X+2 X 1 X^2+2 X^2+X+3 X^2 X^2+X X^2+X+1 X^2+X 1 X+3 X^2+X+1 X^2+1 X+1 1 X^2+X+2 1 2 2 1 X^2+2 X+1 1 X^2+1 3 X^2+X+2 X^2+2 1 1 1 0 X^2+1 X^2+X+1 1 X^2+3 X^2 X^2+2 X^2+3 X+2 X^2+2 1 1 X^2+1 1 3 X^2+X 0 0 0 X X+2 2 X+2 X+2 X^2+2 X^2 0 2 X X+2 X^2+2 X^2 X^2 2 X^2 2 2 X^2+X X^2+X X^2+X+2 X^2+X X X 0 X+2 X 0 0 X+2 X^2+2 0 X^2+2 X^2 X+2 X^2+2 X 2 X X+2 X X^2+X X^2+X+2 X X^2+2 X+2 X^2+X 2 X^2+X X+2 0 X^2 2 X^2+X+2 X^2+X X^2+X+2 X+2 X^2+2 X^2+X+2 X^2+X+2 X^2+X X^2+2 X+2 X+2 X^2+2 X X^2+2 X^2 X^2+X+2 X^2+X X^2+2 X^2+X+2 0 X^2+X 0 2 X^2+X X^2+2 2 X X^2+2 0 0 X^2 X^2+X+2 X+2 X^2 0 X^2+X X+2 X^2 X^2+2 X^2+X X X^2 X^2+2 generates a code of length 99 over Z4[X]/(X^3+2,2X) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+316x^92+1138x^93+1655x^94+2712x^95+2632x^96+3376x^97+3218x^98+3722x^99+3203x^100+3150x^101+2375x^102+2016x^103+1120x^104+892x^105+481x^106+346x^107+142x^108+140x^109+45x^110+36x^111+28x^112+8x^113+8x^114+5x^116+1x^118+1x^120+1x^122 The gray image is a code over GF(2) with n=792, k=15 and d=368. This code was found by Heurico 1.16 in 18.3 seconds.