The generator matrix 1 0 0 1 1 1 X 1 1 1 1 0 X+2 2 1 1 0 X+2 1 X+2 2 1 1 X 1 X+2 X 1 0 1 X 2 X 1 0 1 1 0 1 0 0 1 1 1 X 1 3 X+2 1 1 X 1 X+1 1 0 X+1 1 1 1 X 1 X+2 1 2 0 2 2 1 1 2 3 1 1 0 0 0 1 1 0 1 X+1 X+3 0 X+1 2 X 1 1 X+2 1 X+2 1 2 0 X+1 X+1 X+1 X+3 2 X 1 X+2 1 X 1 3 1 1 X+3 2 0 0 0 0 X 2 0 0 0 X+2 X+2 X+2 X X+2 X+2 2 2 0 2 X X 2 X 2 X X 0 X+2 0 2 X 0 X+2 X X X 0 X 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+42x^32+174x^33+216x^34+310x^35+235x^36+276x^37+180x^38+194x^39+126x^40+146x^41+56x^42+38x^43+35x^44+12x^45+4x^46+2x^47+1x^48 The gray image is a code over GF(2) with n=148, k=11 and d=64. This code was found by Heurico 1.11 in 0.0507 seconds.