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 1 X 1 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 2X 4X X X 2X 2X 2X 4X 3X 4X 2X 3X 2X 2X 2X 3X 4X 4X 4X 0 4X 3X X 4X 2X X 4X 3X 3X 3X 4X 2X 2X 3X 0 X 4X 3X 3X 2X 3X 0 3X X 0 X 4X 2X 3X X 2X 4X X 2X 0 X 0 X 0 4X 4X 2X X 3X 3X 2X 2X 4X 0 3X X 2X 0 2X X 4X 3X 0 0 X 0 0 0 0 0 X X X 3X 4X 0 4X X 4X X 4X 4X X 3X 0 4X 2X 2X 4X 0 X X X 2X 4X 3X X 3X 4X 0 4X X 0 X 4X 2X 0 2X 4X 4X 0 2X 3X 2X X 3X 0 4X X 0 3X 4X 4X 0 2X 0 2X 2X 0 0 X 4X 0 X 4X 2X 3X 2X 0 3X 3X X 4X 3X X 0 X X 0 X 3X 0 0 0 0 X 0 0 X X 3X 4X 2X 3X 3X X X X 2X 4X 2X 4X X 4X 2X 0 3X 0 3X 0 2X X 2X 2X 4X X 4X 0 0 4X 4X X X 0 0 X 0 0 2X X 4X 4X 3X 4X 2X 3X 2X 0 2X 3X 3X 2X X 4X 3X X 2X 4X 0 0 0 2X 3X 0 2X 3X 4X 0 0 0 4X X 3X X 3X 2X X 2X 4X 3X 4X X 0 0 0 0 X 0 3X 2X 3X X 3X 3X 3X X X 4X 4X 4X 0 2X 0 0 X 4X 0 X 0 0 X 3X 4X X X 2X 0 2X 3X X 3X 0 2X 0 4X X 2X 3X 0 0 0 2X 3X 4X 4X 3X X X 2X 4X 0 X X 3X 0 X 0 3X 4X X X X 2X 2X X 3X X 2X 4X 0 4X 3X 0 X X 4X 4X 4X 4X 0 0 X 0 0 0 0 0 X 3X X 4X 3X 2X 0 2X 0 3X 3X 0 X 4X 4X X 0 4X 3X 0 X 4X 2X 4X 4X 3X 4X 2X 0 3X 2X 2X 3X X 2X X 4X 2X 2X 4X 4X X 2X 3X 4X 0 4X X 2X 3X 2X X X 3X 0 X 2X 3X 3X X X 0 4X X 3X 4X 0 3X 0 4X X 2X 3X X 2X 2X 0 0 2X 4X 3X 4X 0 3X 0 generates a code of length 90 over Z5[X]/(X^2) who´s minimum homogenous weight is 325. Homogenous weight enumerator: w(x)=1x^0+280x^325+728x^330+948x^335+1292x^340+1360x^345+500x^348+1400x^350+6000x^353+1320x^355+24000x^358+1360x^360+32000x^363+1336x^365+1288x^370+1172x^375+1016x^380+848x^385+588x^390+392x^395+212x^400+56x^405+20x^410+4x^415+4x^435 The gray image is a linear code over GF(5) with n=450, k=7 and d=325. This code was found by Heurico 1.16 in 38.6 seconds.