The generator matrix

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

generates a code of length 33 over Z5[X]/(X^2) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+68x^110+244x^115+588x^120+1564x^125+5232x^130+6820x^135+472x^140+392x^145+160x^150+68x^155+12x^160+4x^165

The gray image is a linear code over GF(5) with n=165, k=6 and d=110.
This code was found by Heurico 1.16 in 0.453 seconds.