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 0 0 1 X X 1 0 1 2 1 X 1 2 1 2 1 X 1 2 X 1 X 1 0 X 1 X 1 1 0 1 0 1 1 1 1 1 1 1 0 1 1 X X 0 X 0 1 X X 1 0 0 1 0 X 0 0 0 0 0 0 2 2 X X+2 X X X+2 X X+2 0 X+2 X+2 0 2 X X X 2 0 X+2 2 X+2 2 X 2 2 X+2 2 X 2 X 0 X 2 X X X X X+2 X+2 X 2 0 2 0 X+2 0 X X 0 2 0 X X 0 2 X 2 X X+2 X X X+2 X X+2 X X X+2 2 2 X X+2 X 0 2 2 2 2 X X 0 X+2 2 X+2 2 X X X+2 0 0 X 0 0 0 0 0 0 0 0 0 2 2 2 X+2 X+2 X+2 X+2 X X X+2 2 X+2 0 X+2 X X+2 X+2 X+2 X X+2 X 2 X+2 X+2 2 X X 0 X+2 X X 2 2 2 X+2 0 X+2 2 X 2 X+2 X X 0 2 X 0 X 0 X+2 X+2 X X+2 X X X+2 0 0 2 0 X+2 X+2 X X X+2 2 X 0 X+2 X 2 X+2 X+2 X+2 2 0 2 2 X X X+2 2 2 X 0 0 0 X 0 0 2 X+2 X X X X 2 X+2 2 0 X+2 X X X 2 2 X 0 0 X+2 X+2 0 X 2 0 X+2 0 X X 2 0 X+2 0 2 X+2 2 2 X X+2 2 X 2 2 X 0 X X X 2 X+2 X X 2 X 0 X 0 X 2 0 2 X+2 X X+2 X X+2 2 2 0 X X+2 X 0 X+2 X+2 X 0 0 X 0 2 X+2 X X X+2 2 X X+2 X 2 0 0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X+2 2 X X+2 X X X 0 X X 0 X 2 0 0 2 2 X X+2 0 2 0 X+2 0 X 0 X 2 0 X 2 2 X+2 X X X 2 2 X 0 2 X 2 X+2 0 X+2 0 0 X+2 2 X 2 X+2 0 X+2 X+2 0 X X+2 2 X 2 2 0 2 2 2 0 2 X+2 X+2 2 2 X+2 0 X+2 2 2 2 X+2 2 0 0 0 0 0 X X 2 X+2 X X+2 2 X 2 X+2 X+2 2 X X+2 0 X 2 X 2 0 X 2 X 0 0 X X+2 0 0 2 X+2 X 0 X+2 2 X+2 X+2 X+2 X+2 2 X+2 2 X 2 X+2 2 X 0 2 X+2 X+2 X+2 2 X+2 X+2 0 X X 2 2 2 2 2 2 X+2 2 X+2 X X+2 X X X X+2 X X 0 2 X 0 X 2 2 X X 0 X X+2 2 2 2 0 generates a code of length 96 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 85. Homogenous weight enumerator: w(x)=1x^0+86x^85+130x^86+188x^87+272x^88+378x^89+333x^90+336x^91+468x^92+514x^93+594x^94+584x^95+645x^96+632x^97+552x^98+460x^99+408x^100+386x^101+296x^102+216x^103+155x^104+116x^105+109x^106+92x^107+84x^108+54x^109+26x^110+36x^111+14x^112+8x^113+6x^114+8x^115+2x^118+2x^121+1x^136 The gray image is a code over GF(2) with n=384, k=13 and d=170. This code was found by Heurico 1.16 in 12.6 seconds.