The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X 0 1 1 1 1 X 1 0 X X 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 X 0 1 0 1 X 1 1 0 1 1 1 1 1 0 X 1 1 2 1 X 1 1 1 1 1 X 0 1 1 1 1 1 0 1 1 2 X 1 0 X 0 X+2 0 X+2 0 X+2 0 X+2 2 X+2 0 X+2 0 X+2 X 2 X 2 0 X+2 2 2 X+2 0 0 2 X+2 X X X X+2 X X+2 X X+2 X+2 0 0 X+2 X+2 X X+2 X+2 0 2 X+2 0 0 2 X X 2 X+2 X+2 X 2 X 2 X+2 X X X X X+2 X X X X 0 2 2 X+2 X 0 X 0 X X+2 X+2 X+2 X+2 0 X+2 X 0 X 0 2 X X 2 X X+2 X+2 0 X+2 X 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 0 0 0 0 0 2 0 2 0 2 0 2 0 2 0 2 2 0 2 0 2 0 0 2 2 0 0 2 0 2 0 0 2 2 2 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 2 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 2 2 0 0 0 2 0 2 2 2 0 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 2 2 2 2 0 2 0 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 0 0 0 0 2 0 0 0 0 0 0 0 2 0 0 0 0 2 0 2 2 2 2 2 2 2 0 0 2 2 2 2 0 2 2 2 0 2 0 0 0 0 0 2 2 0 0 2 0 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 0 0 0 2 2 0 0 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 0 2 2 2 0 2 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 0 2 2 0 2 2 0 2 0 0 2 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 0 2 0 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 0 0 2 0 2 0 0 0 0 2 2 2 0 0 2 2 2 2 2 2 2 2 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 2 0 2 2 0 2 2 0 2 2 2 2 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 0 2 2 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 0 0 0 2 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 2 2 0 0 0 2 0 2 2 0 0 0 2 2 0 2 0 2 0 0 2 2 0 0 2 0 2 2 0 2 0 2 0 0 2 0 0 2 0 2 0 2 2 2 0 2 0 2 0 2 0 0 0 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 2 0 2 0 2 2 2 2 0 2 0 0 2 2 2 0 2 0 2 2 0 2 0 0 0 0 0 2 0 2 0 0 2 0 0 2 2 0 0 2 0 0 2 2 2 0 0 2 2 2 2 0 2 0 generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+4x^85+58x^86+44x^87+142x^88+88x^89+191x^90+160x^91+196x^92+220x^93+412x^94+482x^95+518x^96+672x^97+535x^98+756x^99+684x^100+694x^101+478x^102+448x^103+318x^104+264x^105+232x^106+120x^107+104x^108+88x^109+78x^110+34x^111+44x^112+16x^113+40x^114+4x^115+20x^116+2x^117+11x^118+16x^120+9x^122+4x^124+2x^126+1x^128+1x^130+1x^150 The gray image is a code over GF(2) with n=396, k=13 and d=170. This code was found by Heurico 1.16 in 18.3 seconds.