The generator matrix 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 0 1 0 1 2 4 3X 3X+4 1 3X+2 1 3X+1 3 3X 3X+4 1 2X+2 4X+1 2X+3 1 X+2 4 0 3X 4X+2 0 0 0 1 3 2 1 3X+4 3X+3 1 3X+4 3 3X 2X+3 3X+1 3X 4X+2 4X+1 X+3 4X 2 X+4 X+4 3X+3 X+4 4X+3 0 0 0 0 3X 4X 0 X 4X X 3X 4X 4X 0 2X 2X 3X 3X 2X 3X 0 0 X X 2X 4X 4X generates a code of length 26 over Z5[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+360x^90+300x^91+40x^92+220x^93+1700x^94+2516x^95+1600x^96+480x^97+1140x^98+3900x^99+6604x^100+4000x^101+1920x^102+3060x^103+9600x^104+11748x^105+7000x^106+2560x^107+3080x^108+7300x^109+6768x^110+2100x^111+68x^115+32x^120+28x^125 The gray image is a linear code over GF(5) with n=130, k=7 and d=90. This code was found by Heurico 1.16 in 3.22 seconds.