The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  0  1  1  1  1  1  1  X  1  1
 0  1  1  2 3X+4  3  0 3X+1  2 3X+4  3  1  0 3X+4  X 4X+4  X  X X+4  1 X+2  3 3X+1  2 X+3 3X+1  1 X+2 4X+1
 0  0 3X  0 3X 2X  0 4X 2X 4X  X 3X 2X  0 3X  0 2X  X 4X 4X 4X 4X 2X  X 4X  0 4X 4X 2X
 0  0  0  X 3X  X 2X 3X  0 2X 3X  X 2X 3X  X 4X 4X  0 4X  0 4X  X 4X  X  0 3X 2X 2X  0

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+268x^105+580x^106+360x^107+908x^110+1260x^111+420x^112+2176x^115+3240x^116+1080x^117+2116x^120+2420x^121+640x^122+72x^125+40x^130+20x^135+12x^140+12x^145

The gray image is a linear code over GF(5) with n=145, k=6 and d=105.
This code was found by Heurico 1.16 in 20 seconds.