The generator matrix 1 0 1 1 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 1 3X+1 1 X 3X+4 3 X X+2 4X+4 X+3 2X+1 2X+1 2X 2X X+3 3X+3 X+1 X+1 2X+3 2X+3 4X+1 3X+3 X+2 4X+2 0 0 3X 2X X 0 4X 2X X 2X 4X X 3X 0 2X X 4X 2X 3X X 0 0 4X 4X X 2X 4X 0 2X 3X 3X 3X 2X generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 125. Homogenous weight enumerator: w(x)=1x^0+308x^125+180x^127+260x^128+928x^130+140x^132+80x^133+628x^135+180x^137+160x^138+244x^140+12x^150+4x^155 The gray image is a linear code over GF(5) with n=165, k=5 and d=125. This code was found by Heurico 1.16 in 0.012 seconds.