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 1 1 1 1 1 1 1 1 1 1 X 2 X 1 1 1 X 1 1 2 X 1 2 1 X 1 1 1 X 0 1 0 0 2 0 1 1 1 0 0 1 1 1 1 X 1 X 1 1 X 1 X X 1 1 1 0 1 1 2 1 X 2 0 X 1 1 0 X 0 0 0 0 0 0 2 2 X X+2 X 0 0 2 X+2 X+2 X X X X 0 X X+2 X 0 X X+2 2 X+2 2 2 X+2 X 0 0 X 2 0 X X X X X+2 0 X X+2 2 0 2 2 0 X X 0 0 X+2 0 2 0 X X X X 2 0 0 2 2 2 X X 2 2 0 X 2 X 0 X X X+2 2 0 X+2 0 0 2 0 X 2 X X+2 0 0 2 0 2 0 0 X 0 0 0 0 0 0 0 0 0 2 X+2 X+2 X+2 X X+2 X+2 X 2 2 X+2 X+2 0 0 X X X X+2 X+2 X+2 2 2 X+2 X X 2 2 X 0 0 0 X+2 X 0 2 X+2 0 2 2 2 X+2 X X+2 0 X+2 2 X+2 0 X X X+2 X 2 X X X+2 X+2 2 2 2 2 0 2 2 X 0 2 X 2 0 X+2 X+2 2 X+2 X 2 X X 0 0 2 X 2 X X X 0 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 X 2 2 0 2 2 2 2 2 X X+2 X 2 X X+2 X+2 X X+2 0 2 0 0 0 X+2 X+2 X 0 2 X+2 X X+2 2 0 X X 2 X+2 X X+2 X X X X 0 2 2 0 0 0 2 2 2 X+2 X X 0 0 X X+2 X+2 0 0 X+2 X+2 X X+2 2 2 0 X 2 0 X X 0 X+2 X X 2 X X 0 X+2 0 0 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 X X 0 2 X 0 X+2 X+2 X X+2 X 2 2 X 2 2 0 X+2 2 0 X+2 X X+2 2 0 X+2 X X 2 X X+2 X+2 X 0 0 2 0 0 X+2 X X 0 0 X 0 2 X X 0 2 2 2 X+2 X 0 0 0 2 0 X 2 X X X 0 2 2 0 X+2 0 2 X+2 2 0 2 X+2 2 2 0 0 2 X 2 0 X X+2 0 0 0 0 0 X X 2 X+2 X X+2 2 X X 0 X 0 X+2 X+2 0 X 2 2 X+2 2 X X+2 X+2 2 X 2 2 X+2 0 X X+2 0 0 0 X X+2 0 X 0 X+2 2 X X 0 0 0 2 0 2 X X 2 X+2 X+2 2 2 2 X X+2 2 X X+2 2 X+2 X X X X X 0 X 0 0 X X 2 2 0 0 X X X+2 2 2 0 2 2 X+2 2 X X 2 0 0 generates a code of length 99 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 88. Homogenous weight enumerator: w(x)=1x^0+121x^88+8x^89+406x^90+60x^91+504x^92+112x^93+626x^94+264x^95+764x^96+300x^97+816x^98+516x^99+786x^100+356x^101+646x^102+276x^103+487x^104+108x^105+376x^106+32x^107+250x^108+12x^109+142x^110+4x^111+122x^112+48x^114+26x^116+10x^118+8x^120+2x^122+2x^124+1x^144 The gray image is a code over GF(2) with n=396, k=13 and d=176. This code was found by Heurico 1.16 in 9.84 seconds.