The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0 16 22  5  1 14 19  7 23  5 13 15
 0  0  1  0  8 22 16  6  2  5 23  7 11 18 15
 0  0  0  1  8 14 19 15 23  2 12 10  6 17 16

generates a code of length 15 over Z25 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+204x^45+320x^46+500x^48+3020x^49+3056x^50+1160x^51+4400x^52+5700x^53+14340x^54+9136x^55+12600x^56+35200x^57+23100x^58+40260x^59+34976x^60+42040x^61+70400x^62+30700x^63+39880x^64+15656x^65+3880x^66+72x^70+24x^75

The gray image is a code over GF(5) with n=75, k=8 and d=45.
This code was found by Heurico 1.16 in 33.5 seconds.