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  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 10 10  9 24
 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 20  5 10

generates a code of length 31 over Z25 who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+40x^116+240x^118+400x^119+320x^120+260x^121+320x^123+200x^124+100x^125+60x^126+440x^128+400x^129+192x^130+140x^131+8x^135+4x^140

The gray image is a code over GF(5) with n=155, k=5 and d=116.
This code was found by Heurico 1.16 in 0.011 seconds.