The generator matrix
1 0 0 0 1 1 1 1 1 1 1 1 1 1
0 1 0 0 16 22 5 8 1 7 24 4 9 15
0 0 1 0 8 22 16 14 24 5 21 23 12 2
0 0 0 1 8 14 19 22 10 3 7 24 10 1
generates a code of length 14 over Z25 who´s minimum homogenous weight is 41.
Homogenous weight enumerator: w(x)=1x^0+240x^41+560x^44+3156x^45+2840x^46+3800x^48+6720x^49+14316x^50+9040x^51+11500x^52+30400x^53+26880x^54+40552x^55+42440x^56+46000x^57+60800x^58+35840x^59+39972x^60+15440x^61+92x^65+36x^70
The gray image is a code over GF(5) with n=70, k=8 and d=41.
This code was found by Heurico 1.16 in 29.4 seconds.