The generator matrix 1 0 1 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 0 1 1 X+2 1 1 2 1 1 X 1 1 2 1 1 X 1 X 1 X 1 1 1 2 X 1 1 1 0 2 X X+2 X X 1 1 1 1 0 X 0 1 1 0 1 X+1 X+2 1 1 X+1 0 1 X+2 3 1 0 X+1 1 X+2 3 1 0 X+1 1 X+2 1 1 2 X+3 1 X 1 1 2 X+3 1 X 3 1 2 0 X+2 0 X+2 2 X+3 1 X+2 X+3 3 3 X 1 1 1 0 2 X X X+1 X+3 X X+2 0 3 1 0 0 2 0 0 0 0 2 2 2 2 2 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 2 0 0 2 2 0 2 2 0 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 2 2 2 2 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 2 0 0 0 0 0 2 0 2 2 2 2 0 2 0 2 0 0 2 0 2 0 2 2 0 2 2 0 2 2 0 2 0 2 0 0 2 0 2 2 2 0 0 0 0 2 2 0 0 0 2 2 2 2 2 0 0 2 2 2 0 0 2 2 2 generates a code of length 63 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+144x^60+136x^62+109x^64+80x^66+30x^68+8x^70+2x^72+1x^76+1x^108 The gray image is a code over GF(2) with n=252, k=9 and d=120. This code was found by Heurico 1.16 in 0.151 seconds.