The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1 20  1 15  1 15  1  1  1  1  1  1
 0  1  0  0 15 20 16 21  1 22  2 18  1  8  1 16  1 10 19  7 24 12 14
 0  0  1  0 16 22  8  1  2  6 23  5 22  3  6 20  2 18 11 15 17 14 13
 0  0  0  1  8 22 13 16  5 17 21  7 19 10  8 11  2  6 18 23 16  5 12

generates a code of length 23 over Z25 who´s minimum homogenous weight is 77.

Homogenous weight enumerator: w(x)=1x^0+500x^77+1840x^78+1320x^79+316x^80+1760x^81+5660x^82+10040x^83+5640x^84+3296x^85+7920x^86+18020x^87+28840x^88+18860x^89+12632x^90+22880x^91+49980x^92+60840x^93+34580x^94+16728x^95+22440x^96+30840x^97+28440x^98+7100x^99+52x^100+52x^105+32x^110+16x^115

The gray image is a code over GF(5) with n=115, k=8 and d=77.
This code was found by Heurico 1.16 in 63.2 seconds.