The generator matrix 1 0 0 1 1 1 0 1 1 X+2 1 1 1 X+2 1 X+2 2 2 1 1 X+2 1 1 X X+2 1 X 1 X 1 1 2 1 0 1 2 0 0 1 0 0 1 1 1 2 X 1 X+1 1 3 1 X 0 1 X X+2 X+3 1 2 3 0 0 1 1 X X 3 X+3 1 X+3 1 1 1 2 0 0 1 X+1 X+3 0 X+1 X 1 1 0 X+2 3 2 X+2 1 1 1 X+1 X+1 X+1 0 X+1 1 1 2 X X+2 1 0 X+2 1 X+2 2 X+1 X+2 1 0 0 0 2 0 0 0 2 0 2 0 2 2 0 2 2 0 2 0 2 2 2 0 0 2 2 2 0 0 0 0 2 0 2 2 0 2 0 0 0 0 2 0 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 0 2 0 2 2 2 2 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 2 2 0 2 2 0 2 0 2 2 2 2 2 0 2 2 2 0 2 0 0 0 generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32. Homogenous weight enumerator: w(x)=1x^0+332x^32+802x^34+1024x^36+850x^38+686x^40+326x^42+56x^44+6x^46+13x^48 The gray image is a code over GF(2) with n=148, k=12 and d=64. This code was found by Heurico 1.16 in 0.57 seconds.