The generator matrix

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

generates a code of length 30 over Z5[X]/(X^2) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+64x^105+120x^106+440x^107+140x^109+1764x^110+3300x^111+3220x^112+780x^114+5076x^115+5880x^116+4500x^117+2020x^119+10180x^120+10860x^121+7580x^122+2060x^124+8388x^125+7340x^126+4260x^127+60x^130+60x^135+28x^140+4x^145

The gray image is a linear code over GF(5) with n=150, k=7 and d=105.
This code was found by Heurico 1.16 in 3.85 seconds.