The generator matrix 1 0 0 1 1 1 2X 1 1 1 3X 1 3X+2 X+2 2 X X+2 1 1 1 0 1 1 1 1 1 2 3X 1 1 1 1 0 1 0 2X 2X+3 3 1 X 2X+2 3X+3 2 X+1 1 1 1 1 X X+2 X 3 1 3X+2 2X+3 3X+1 2X 3X+3 3X 1 2X+1 3 1 0 0 0 1 3X+1 X+1 2X 3X+1 3X 1 X+3 1 3X+2 X+2 3X+3 3 2X+2 1 2X+3 2X+2 X X+2 3X+1 3 0 X+2 2X+1 1 2X+3 X+1 3X+3 2 2X generates a code of length 32 over Z4[X]/(X^2+2X+2) who´s minimum homogenous weight is 29. Homogenous weight enumerator: w(x)=1x^0+220x^29+962x^30+504x^31+1052x^32+308x^33+644x^34+204x^35+138x^36+32x^37+18x^38+12x^39+1x^40 The gray image is a code over GF(2) with n=256, k=12 and d=116. This code was found by Heurico 1.16 in 0.078 seconds.