The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 X 1 1 1 1 1 X 1 X 1 1 1 X 1 1 1 1 1 X 1 X X 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 X 2X X X 4X X 2X 2X 3X 4X 4X 3X 2X X 3X 2X 2X 0 X 2X 4X X X 2X 2X 3X 4X 4X X X 0 4X X 4X 4X 2X X 0 4X 3X 2X 4X 0 X X X 4X 4X 0 0 X 4X 0 X 4X X 0 2X X X 3X 2X X 0 2X 0 2X 3X 3X 2X 0 0 2X 0 0 0 0 X 0 0 0 0 X X X 2X 4X 3X 0 4X 3X X X 4X 2X 0 4X 0 3X 4X 3X X X 2X 4X 3X 4X 3X 4X 0 2X 2X X 4X 3X 3X 3X X X X 2X 4X 0 2X 2X 0 4X X 2X 2X 0 3X 0 4X X 2X 3X 2X 3X 3X 0 4X X 0 4X 4X 0 4X 2X X 3X 4X 2X X X 3X X X X 4X 0 0 0 0 0 X 0 0 X 3X 3X 4X 2X 0 2X 3X X 3X 2X 0 4X 0 0 2X 0 3X 3X X 2X 4X 0 2X 4X X 4X X X 4X 0 X 4X X X 0 3X 3X X X X 2X 3X 4X 2X 0 3X 4X 0 4X 2X 4X X 3X X X 0 2X 3X X 0 3X 0 X 3X 3X 3X 3X 3X 3X 0 0 0 0 4X 0 0 3X 3X 2X 0 0 0 0 0 X 0 3X 2X X 3X 0 4X 3X 4X 4X 2X 4X 4X 0 0 3X 2X X 2X 0 3X X 4X 0 0 2X X 2X 2X 2X 2X X 2X 2X X 2X X 3X 3X 2X X 2X 3X 3X X 4X 2X 3X 4X 3X X 3X 4X X 2X 4X X 3X 3X 2X 4X 3X 0 X 2X 2X 0 3X X X 2X 2X 4X 0 2X 4X X 3X 0 2X 2X 0 0 0 0 0 0 X 3X X 3X 0 3X 4X 2X 2X 2X 0 0 X 4X X 4X 4X X 2X 0 2X 4X 3X 3X 2X 0 4X 4X X 0 2X 0 0 X 4X 4X 4X X 4X X 0 4X 3X 3X 2X X X 2X 0 2X 3X 0 3X 0 0 4X 4X X 3X 0 X 2X 2X X 3X 3X 3X 3X X 3X 3X 2X 4X 3X 4X 2X 0 0 X X 4X 0 generates a code of length 87 over Z5[X]/(X^2) who´s minimum homogenous weight is 310. Homogenous weight enumerator: w(x)=1x^0+92x^310+492x^315+844x^320+980x^325+140x^327+1236x^330+1280x^332+1348x^335+3900x^337+1472x^340+10800x^342+1348x^345+19300x^347+1404x^350+18660x^352+1420x^355+8420x^357+1224x^360+1204x^365+864x^370+692x^375+524x^380+236x^385+172x^390+44x^395+28x^400 The gray image is a linear code over GF(5) with n=435, k=7 and d=310. This code was found by Heurico 1.16 in 36.9 seconds.