The generator matrix

 1  0  0  1  1  1  1  1  1  1  0  1  1  1
 0  1  0  1  7 24 15 14  1 22  1 15  7  0
 0  0  1 18  7  1 14  8  1 14 18 16  0  5
 0  0  0 15 20  0  5 20  5 15 20 10  5 15

generates a code of length 14 over Z25 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+220x^44+688x^45+200x^46+500x^48+2640x^49+3108x^50+400x^51+2000x^52+4000x^53+10560x^54+8384x^55+6100x^56+8000x^57+8000x^58+14080x^59+8304x^60+800x^61+104x^65+36x^70

The gray image is a code over GF(5) with n=70, k=7 and d=44.
This code was found by Heurico 1.16 in 1.36 seconds.