The generator matrix

 1  0  1  1  1  1  1  1  1  0  1  5  1  1  1  1  1  1  1  1  1  1  1  5  1  1  1  1  1 10  1  1 20  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  1  7 14 18  0 16  7  1 16  1  5 14 18  5 12 19 23 11 12 19 23  1 15 11  8 17  9  1  2 24  1 10 10  9 17 20 24  7 17 20 14 20 12
 0  0 15 10  5  0 20 10  5 10 20  5 15  0 10  5 20 10 15  5  0 15 20 20 10  0  5  0  5 20  5 10 10  0 20 20 15 10 20 20 10 15 15  5 15

generates a code of length 45 over Z25 who´s minimum homogenous weight is 174.

Homogenous weight enumerator: w(x)=1x^0+140x^174+880x^175+260x^176+220x^179+524x^180+80x^181+40x^184+544x^185+160x^186+100x^189+164x^190+4x^195+8x^200

The gray image is a code over GF(5) with n=225, k=5 and d=174.
This code was found by Heurico 1.16 in 0.0213 seconds.