The generator matrix

 1  0  1  1  1  1  1  1  1  1  1
 0  1  1  7 14  0 16  7  5 16 12
 0  0 15 10  5  5 10 20 15 20  0

generates a code of length 11 over Z25 who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+180x^37+264x^40+540x^42+500x^44+828x^45+780x^47+16x^50+16x^55

The gray image is a code over GF(5) with n=55, k=5 and d=37.
This code was found by Heurico 1.16 in 0.00213 seconds.