The generator matrix

 1  0  1  1  1  1  1  1  1  1  1  5  1  1
 0  1 16  7 14 18  5 21 12 19 23  1 10 11

generates a code of length 14 over Z25 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+160x^53+120x^54+8x^55+240x^58+80x^59+16x^60

The gray image is a code over GF(5) with n=70, k=4 and d=53.
This code was found by Heurico 1.16 in -3.62e-008 seconds.