The generator matrix 1 0 1 1 1 X+2 1 1 2 1 1 X 1 1 0 1 1 X+2 1 1 1 1 2 X X X 0 X X 2 1 1 1 1 1 1 1 0 1 X+1 X+2 3 1 2 X+3 1 X 1 1 0 X+1 1 X+2 3 1 2 X X+3 1 1 1 0 X+2 X 2 X X 0 X+1 2 X+3 X+2 X 0 generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+5x^36+42x^37+6x^38+4x^39+2x^40+2x^41+1x^42+1x^46 The gray image is a code over GF(2) with n=148, k=6 and d=72. This code was found by Heurico 1.16 in 0.00895 seconds.