The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X 1 1 1 X X X 1 X X X X 2 X 0 2X+2 0 2X+2 0 2X+2 0 2X+2 2X 2 2X 2 2X 2 2X 2 2X+2 2X+2 2X+2 2X+2 0 2X 0 2X 0 2X+2 0 2X 2 2 2 2 2 0 2X 2X+2 2X+2 0 0 2X 0 0 2X 2X 2X 2X 2X 2X 2X 0 0 0 0 0 0 2X 2X 0 0 2X 2X 0 0 2X 2X 2X 0 2X 2X 0 0 0 0 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 2X 2X 0 0 0 2X 2X 0 2X 2X 2X 2X 0 0 0 0 2X 2X 0 0 0 0 0 2X 2X generates a code of length 37 over Z4[X]/(X^2+2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+109x^36+64x^37+64x^38+15x^40+1x^44+2x^52 The gray image is a code over GF(2) with n=296, k=8 and d=144. This code was found by Heurico 1.16 in 0.078 seconds.