The generator matrix 1 0 0 0 1 1 1 2 1 1 1 2 1 0 X 1 2 X+2 1 1 X+2 1 0 1 1 1 X X 2 1 1 0 X+2 2 1 1 1 X+2 1 X 1 1 1 1 0 1 X 0 1 0 1 0 1 1 X X 1 1 1 1 1 X+2 X 1 1 1 0 1 1 1 1 1 0 1 2 X+2 0 1 1 1 X 2 1 0 1 X 1 1 X+2 X+2 0 X 2 X 0 1 1 0 1 0 0 X X X+2 0 1 3 3 1 X+3 1 1 X X 1 X+3 2 1 1 X+2 1 0 X+2 2 1 1 X+3 3 1 1 X X+2 0 0 1 1 1 2 X+3 3 0 0 X+1 1 1 3 1 X+3 1 0 X 2 X 3 2 3 X X+2 X 0 2 1 X+1 0 X+1 2 2 X+2 3 1 2 0 1 1 X+1 X+1 X+3 X+2 X+2 1 X+2 0 1 X+2 X 2 1 2 1 1 X+2 1 0 0 0 0 1 0 X X+3 X+3 1 X+1 X+2 2 1 X+1 3 X 0 2 X X+3 X+1 X+2 2 1 1 1 2 1 1 1 X X+1 X+2 3 1 3 3 X+2 3 X 2 X+1 1 X X+2 X+2 0 2 X+1 3 X 0 2 X+1 2 1 1 3 X+2 1 3 3 1 2 0 X+1 2 1 X+1 X X+2 X+1 X+2 2 X+3 1 X X+2 3 2 3 1 0 3 1 0 X+2 X+1 0 X+2 0 1 X+1 0 X X+1 X 0 0 0 0 1 X+1 X+3 X 3 X X+2 3 1 X+3 X X+3 X 1 X+2 2 X+3 3 2 3 X+1 X+2 1 0 X+1 0 X+3 1 2 0 2 0 1 X 3 1 X+3 3 X+3 0 1 1 X+2 2 X X 3 X+3 X+2 0 X+1 X X+3 X+2 2 X+3 3 X 0 1 X+1 0 3 X+2 X+2 X+3 X+3 2 X+1 1 3 X+1 X X X+3 0 0 3 1 X X+1 2 X+3 X+2 X 1 X+3 3 X X+2 1 X+2 X 0 0 0 0 0 2 2 2 0 2 2 2 0 2 0 0 2 2 2 0 0 2 0 2 0 0 0 2 2 2 0 0 0 2 0 0 2 2 0 0 0 0 2 2 0 2 0 2 0 2 0 0 2 2 2 2 2 0 2 2 2 2 0 0 2 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 2 2 0 0 0 0 2 0 0 2 2 0 2 generates a code of length 97 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 89. Homogenous weight enumerator: w(x)=1x^0+136x^89+374x^90+442x^91+568x^92+684x^93+707x^94+670x^95+546x^96+662x^97+612x^98+440x^99+395x^100+416x^101+347x^102+284x^103+277x^104+182x^105+169x^106+92x^107+59x^108+48x^109+26x^110+18x^111+8x^112+16x^113+5x^114+6x^115+2x^116 The gray image is a code over GF(2) with n=388, k=13 and d=178. This code was found by Heurico 1.13 in 2.29 seconds.