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 1 1 2 X 2 1 X 1 1 X 1 2 1 1 1 X 0 1 1 1 X X X 1 1 X 1 1 X 1 1 0 1 1 X 1 2 X X 1 1 1 1 1 1 0 2 1 X X 0 1 0 1 1 0 1 0 X 0 0 0 0 0 0 0 X+2 X X X X X+2 X+2 X 2 X 0 X 2 0 X+2 X 2 2 X 2 2 X X 2 X+2 X+2 X X X 0 2 0 X+2 X+2 X 2 X X 0 2 X+2 0 X+2 0 2 X 0 2 X+2 0 X+2 0 2 X 2 0 X+2 X X X+2 X 0 0 0 X 0 0 0 X 2 0 X+2 X X 2 0 X+2 2 X 2 0 X X+2 0 2 2 2 X X 0 0 0 X 0 0 0 X X+2 X 2 X X+2 0 0 X X+2 2 2 2 X 2 X 2 X X+2 X+2 0 X 0 X X 0 2 X 2 X+2 2 2 X+2 2 X X+2 X X X X 2 X 2 X X X+2 2 2 X+2 0 X X+2 X X+2 X+2 0 X 2 2 0 2 2 0 0 2 0 0 2 0 X X+2 X+2 X 0 0 0 0 X+2 X+2 0 X+2 X 0 2 2 X X 0 X X 0 X+2 X+2 0 0 0 X 0 X X X 0 X+2 2 X X+2 0 0 X+2 X+2 X+2 X X+2 0 2 2 X 0 0 X 0 0 X X 0 2 X+2 0 X 0 X 2 X X+2 2 2 2 0 2 2 2 X+2 X+2 X 0 0 X 0 X+2 X 0 X+2 2 X+2 X+2 2 2 X X 0 X X 2 2 X+2 2 X X+2 2 0 2 0 X+2 X+2 X+2 X+2 X X 0 0 X 0 X 2 X+2 2 X 0 2 X 0 0 0 0 0 0 X X 0 X X+2 X 0 X 2 X+2 X 2 2 0 X+2 X 2 0 2 X 0 X X X X+2 2 0 X+2 2 0 0 X+2 X X+2 2 X+2 X 0 0 X+2 X+2 2 X X+2 0 X X+2 X+2 X+2 X X X 2 X+2 X+2 X X 2 0 X X X 2 X 2 0 X 0 X 2 X X X+2 0 0 X+2 0 0 X+2 2 2 0 0 0 X X X+2 2 X 2 2 2 X X X 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 0 0 2 2 0 2 0 2 2 2 0 2 0 2 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 2 0 2 0 2 2 0 0 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 0 0 0 2 0 2 0 2 2 2 2 2 2 0 2 2 2 2 2 2 0 0 0 2 0 2 0 0 0 2 2 2 0 2 2 0 0 2 0 2 2 2 0 0 0 2 2 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 0 2 0 0 0 2 0 2 2 2 0 2 0 0 2 2 0 0 2 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+143x^88+387x^90+32x^91+512x^92+92x^93+643x^94+260x^95+716x^96+440x^97+765x^98+444x^99+825x^100+392x^101+684x^102+252x^103+517x^104+88x^105+355x^106+36x^107+218x^108+12x^109+175x^110+99x^112+51x^114+36x^116+10x^118+4x^120+2x^122+1x^148 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 10 seconds.