The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  5  1  1  1  1 10  1  1  1  1 20  1  1  1  1 15  1  1  1  1  1  1  1  1  1  1  1
 0  1 16  7 14  5 21  0 16 12 19  1 17  9  5 21  1 10 11  2  4  1 20  6 22 24  1 15  1  7 18 23  3 12 10 11 17 13

generates a code of length 38 over Z25 who´s minimum homogenous weight is 150.

Homogenous weight enumerator: w(x)=1x^0+192x^150+80x^151+200x^152+120x^155+20x^156+8x^165+4x^170

The gray image is a code over GF(5) with n=190, k=4 and d=150.
This code was found by Heurico 1.16 in 1.24 seconds.