The generator matrix

 1  0  0  0  1  1  1  1  1  1  1
 0  1  0  0 16 22  5  8  1  7 13
 0  0  1  0  8 22 16 14 24  3  6
 0  0  0  1  8 14 19 22 10  7  3

generates a code of length 11 over Z25 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+740x^32+2560x^33+128x^35+2700x^36+8880x^37+11520x^38+24148x^40+21600x^41+35520x^42+33280x^43+30000x^44+96108x^45+43200x^46+47360x^47+32640x^48+192x^50+48x^55

The gray image is a code over GF(5) with n=55, k=8 and d=32.
This code was found by Heurico 1.16 in 17.7 seconds.