The generator matrix

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

generates a code of length 6 over Z25 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+80x^15+100x^16+2120x^20+800x^21+2500x^24+8264x^25+1600x^26+160x^30

The gray image is a code over GF(5) with n=30, k=6 and d=15.
This code was found by Heurico 1.16 in 0.00985 seconds.