The generator matrix 1 0 0 0 0 1 1 1 1 X^2 1 X 1 X 0 X 1 1 0 X^2+X 1 0 0 X^2 1 1 0 X X 1 1 X^2 1 0 1 0 0 0 0 X 1 X^2+1 1 1 X X 1 1 1 X^2+X+1 X 1 X^2+X X^2+1 X 1 0 X^2+X X^2 1 1 X^2 1 X^2+X+1 1 0 0 0 1 0 0 0 X+1 X X^2+1 X^2+X+1 0 1 X^2+X+1 X^2 X^2 X+1 X^2+1 X^2+X+1 X^2+1 X^2+X X^2+X 1 X+1 X X^2 X^2+1 1 0 X X X^2+X X^2+X X^2 0 0 0 1 0 1 1 X+1 X^2 1 0 X^2+1 X X^2+1 X^2+X+1 X^2+X X+1 0 X^2+1 1 X^2+X+1 X^2+X X 1 X^2+1 X^2+X+1 X^2+1 X 1 X^2+1 X^2+X X^2+X+1 X^2 0 0 0 0 1 1 X^2 0 X X 1 X^2+1 1 0 X^2+1 X^2+X+1 X+1 X X^2+X+1 X^2+X+1 X^2+1 X^2+X+1 0 X^2 X^2 X^2+1 X+1 X^2 X+1 X^2+X+1 1 X+1 0 0 0 0 0 0 X 0 0 0 0 X^2 0 X^2 X^2 X X X^2+X X^2+X X^2 X^2+X X^2 0 X^2+X X X^2 X^2+X X^2+X X^2+X 0 X^2+X X X 0 generates a code of length 33 over Z2[X]/(X^3) who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+59x^24+426x^25+955x^26+2462x^27+3794x^28+7112x^29+10054x^30+14594x^31+15889x^32+19786x^33+15970x^34+15602x^35+9988x^36+7118x^37+3584x^38+2114x^39+971x^40+372x^41+155x^42+40x^43+18x^44+2x^45+2x^46+4x^47 The gray image is a linear code over GF(2) with n=132, k=17 and d=48. This code was found by Heurico 1.13 in 77.8 seconds.