The generator matrix 1 0 0 1 1 1 1 1 1 1 0 1 1 X 1 1 1 1 1 4X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 2 4 3X 3X+4 1 3 1 3X+2 2 1 3X+1 0 X+2 X+4 3X+1 1 4 1 X 3 4X+4 3X X+1 4X+3 4 2X 2X+1 4X+3 0 0 1 3 2 1 3X+4 3X+3 X+1 2 X+2 3X+4 X 3X+3 4X 2X+2 3X+3 X+2 4X 2X+4 X+4 4X+2 2X+3 X 3 2X+1 4X+1 3X+2 3 4X+1 0 2X+4 0 0 0 3X 4X 0 X 4X 2X X 3X 4X 0 3X 4X 2X X 0 2X 4X 2X 4X 4X 2X X 2X 0 0 2X X 3X X generates a code of length 32 over Z5[X]/(X^2) who´s minimum homogenous weight is 115. Homogenous weight enumerator: w(x)=1x^0+760x^115+820x^116+620x^117+1660x^118+680x^119+3340x^120+2160x^121+1260x^122+5020x^123+960x^124+6532x^125+4400x^126+2300x^127+9980x^128+2040x^129+9932x^130+5440x^131+2640x^132+8340x^133+1320x^134+4932x^135+2180x^136+680x^137+72x^140+32x^145+24x^150 The gray image is a linear code over GF(5) with n=160, k=7 and d=115. This code was found by Heurico 1.16 in 5.03 seconds.