The generator matrix 1 0 0 0 0 1 1 1 2 1 1 1 1 X X 0 X+2 X+2 1 1 0 1 0 X+2 1 X 1 0 2 1 1 X+2 X 2 1 1 1 1 1 X+2 1 1 2 1 X+2 1 1 1 1 X 1 1 1 1 X X+2 1 0 1 1 1 X 1 1 X+2 1 1 0 X+2 1 X 1 X 0 0 X+2 1 1 1 1 1 X 1 X+2 X+2 0 1 1 1 1 1 1 X+2 X X 1 1 2 1 0 1 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 0 2 0 0 2 0 1 X+1 1 X+3 1 1 1 X+1 1 1 1 1 X+1 X+3 1 X+1 X X+2 X+2 X+2 X 1 1 X+3 X X+3 2 X+2 3 X+2 1 1 1 X+2 1 X X+3 X+1 1 X+3 X 1 1 3 X X+2 X+2 X+2 3 X+2 1 X 1 X+1 2 X 0 X+1 1 X+2 0 X+2 1 3 X+1 X 1 X+1 X+3 0 1 1 X 3 X+2 2 0 0 1 0 0 2 1 3 1 X X+3 0 3 1 1 2 1 1 X+3 X+2 X 3 X+2 1 X+3 X+3 X+2 X+3 X+1 X X+1 X X X 0 X+3 0 X+3 0 1 X+2 X+1 1 2 X+2 X+3 X+3 X+2 X+1 2 1 X+2 X+3 X+3 X+2 X+3 X+2 3 3 0 X X+1 X X+1 2 X 3 1 1 2 2 3 1 X+2 X 0 3 3 0 X+2 1 3 2 X 0 1 X 1 X+2 X+3 X+2 X+2 1 1 3 1 0 1 X 0 0 0 1 0 3 1 2 3 0 0 X+1 X+1 3 0 1 X+3 X+2 X X+2 1 X+1 1 1 2 X+1 X+3 0 X+2 X+2 3 3 2 X+3 0 X+1 3 X+2 X+2 X+3 X+1 3 X+2 X+1 X+2 X X+3 X+2 X+2 0 3 0 2 1 X+3 X 1 1 0 X+3 1 2 2 3 1 3 3 3 X 3 1 X+2 0 1 1 2 3 X X+2 1 X+1 X+2 0 1 2 X+3 X X 1 0 X+2 3 X+3 X+3 2 X+3 3 3 1 0 0 0 0 1 1 2 3 3 X+1 X X X+1 0 3 X+3 X+2 X+1 X+1 3 3 2 X X+3 X+1 X 2 X+2 3 1 2 1 1 X+2 X+1 X+3 1 2 0 3 3 1 0 3 3 1 X X 0 1 0 X+2 0 X+3 1 X X X+2 0 3 0 X+1 X+2 X+1 X X+3 3 X+3 X+1 3 3 X 2 3 2 X+2 X X+3 X+3 2 X+3 1 X+2 X+1 1 1 X+3 3 X+1 X+3 1 X+1 X X+1 3 X+3 0 3 1 generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+352x^89+562x^90+1144x^91+1172x^92+1778x^93+1552x^94+2234x^95+1926x^96+2484x^97+2162x^98+2712x^99+1963x^100+2536x^101+1870x^102+2092x^103+1398x^104+1534x^105+934x^106+864x^107+512x^108+476x^109+200x^110+158x^111+65x^112+52x^113+14x^114+8x^115+1x^116+2x^118+4x^119+2x^120+2x^121+2x^125 The gray image is a code over GF(2) with n=396, k=15 and d=178. This code was found by Heurico 1.13 in 75.5 seconds.