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 X 2 0 X X 0 X X 1 2 1 1 0 1 1 0 X 0 1 1 1 1 0 X 0 X 0 0 X X+2 0 2 X 0 X+2 2 X+2 X+2 0 2 0 X+2 X+2 0 X 2 X X X+2 2 0 0 2 2 X X X X 0 0 2 2 X 0 X 2 0 0 0 X X 0 X+2 X 0 0 X X 2 2 X+2 X 0 2 X X 0 X+2 2 2 X X 0 0 X X X+2 X 0 X+2 X 0 0 2 X+2 X X+2 0 X X+2 X X 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 2 2 2 2 2 2 0 0 2 2 2 2 0 0 2 2 2 0 2 2 0 2 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 2 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 2 2 2 0 2 2 2 2 0 2 2 2 0 0 0 0 2 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 2 2 0 0 2 2 2 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 2 0 2 2 2 2 0 0 2 2 0 2 2 2 0 2 0 0 0 2 2 0 0 2 2 2 0 0 2 2 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 0 0 2 0 2 2 2 generates a code of length 45 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+144x^36+4x^37+274x^38+72x^39+578x^40+232x^41+798x^42+424x^43+1273x^44+560x^45+1304x^46+472x^47+921x^48+216x^49+368x^50+56x^51+334x^52+12x^53+70x^54+64x^56+2x^58+9x^60+4x^64 The gray image is a code over GF(2) with n=180, k=13 and d=72. This code was found by Heurico 1.16 in 3.85 seconds.