The generator matrix 1 0 1 1 1 X+2 1 1 1 0 1 X+2 1 1 1 0 1 1 X+2 1 1 1 2 1 X X X 1 X X X 0 1 1 X 1 1 1 0 1 X+1 X+2 1 1 X+1 3 0 1 X+2 1 3 X+1 0 1 3 X+2 1 X+1 X+3 2 1 X 1 X+2 X 1 X X 0 X X+3 1 X+2 0 2 0 0 0 2 0 0 0 2 0 2 2 2 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 2 0 2 0 0 2 2 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 0 0 2 2 0 0 2 2 2 0 2 0 0 0 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 2 0 0 0 0 2 2 0 2 2 2 2 2 2 0 2 0 0 generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34. Homogenous weight enumerator: w(x)=1x^0+21x^34+104x^35+31x^36+108x^37+30x^38+76x^39+25x^40+76x^41+9x^42+12x^43+6x^44+8x^45+4x^46+1x^68 The gray image is a code over GF(2) with n=152, k=9 and d=68. This code was found by Heurico 1.16 in 0.0232 seconds.