The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 2 1 2 1 1 X 1 X+2 1 1 1 1 1 0 1 1 1 X+2 1 1 1 X X+2 1 1 1 1 2 1 2 1 1 X X+2 0 1 1 1 1 1 X 1 1 X X X 0 1 1 X+2 X+3 1 0 X+1 1 X 3 1 0 1 1 1 2 X+1 1 X+3 1 0 X+2 3 1 X+2 1 X 2 X+3 1 1 0 3 1 1 X+1 X 1 X+3 1 1 1 X+2 X+1 1 1 1 1 2 X+1 0 X 2 2 0 2 0 0 0 0 X 0 X+2 0 X+2 0 X+2 X+2 2 X 2 X X 0 X+2 2 X X 0 2 0 2 0 2 0 X X X 0 X 2 0 X X+2 0 X X X+2 X X 2 X+2 X+2 X+2 0 0 0 X X X X X 0 2 X+2 X+2 2 0 0 0 2 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 2 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 2 0 0 2 0 2 0 2 2 0 2 0 0 2 0 0 2 0 2 2 0 0 2 2 0 0 0 0 2 0 0 0 0 2 0 2 2 2 0 2 0 0 0 2 2 2 0 2 2 0 2 0 2 0 0 2 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 2 2 0 0 0 2 0 0 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 0 2 0 2 2 0 0 0 0 0 2 2 2 2 0 2 2 2 0 0 2 0 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 2 2 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 2 0 2 2 0 0 2 2 2 0 2 2 0 2 2 0 2 0 0 0 2 0 0 2 0 2 0 0 0 2 2 0 2 0 0 0 0 0 0 0 2 2 0 2 0 0 2 0 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 2 2 2 2 0 2 2 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 2 0 0 2 0 generates a code of length 59 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+84x^50+20x^51+261x^52+172x^53+575x^54+420x^55+755x^56+588x^57+940x^58+684x^59+957x^60+612x^61+675x^62+364x^63+481x^64+164x^65+231x^66+48x^67+89x^68+43x^70+9x^72+8x^74+5x^76+3x^78+2x^80+1x^82 The gray image is a code over GF(2) with n=236, k=13 and d=100. This code was found by Heurico 1.16 in 3.51 seconds.