The generator matrix

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

generates a code of length 29 over Z5[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+136x^110+980x^111+212x^115+540x^116+268x^120+980x^121+8x^125

The gray image is a linear code over GF(5) with n=145, k=5 and d=110.
This code was found by Heurico 1.16 in 0.00963 seconds.