The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  1  1  1  1  1  0 2a  1  1  1  1  1  2  1  0  1  1  1
 0  1  0  0  2  1  3  1  a 3a+3 3a 2a+3  1 a+1 3a+3  a 2a+2  1 2a+2  2 3a 3a+1 2a  1  1  1 a+2 a+2 2a
 0  0  1  0 2a+3  1 2a+2 2a+3 3a+2  a 2a+2 3a+1 2a+1 2a+3 a+2 3a  1  a  0  1 3a+1  3 a+3  2 a+3  3  3 3a+3  0
 0  0  0  1 3a+3  2 3a+1 3a+1 2a+2 2a+1 a+1 3a+1 2a+3 a+3 2a+2 3a  3  1  1 2a+3 2a+2 3a+2  2 a+2  3  a 3a+1 3a+3  a

generates a code of length 29 over GR(16,4) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+648x^75+732x^76+420x^77+732x^78+2616x^79+2259x^80+1200x^81+1716x^82+5520x^83+4179x^84+2016x^85+3420x^86+9744x^87+5322x^88+2424x^89+3900x^90+8616x^91+4470x^92+1404x^93+984x^94+2040x^95+918x^96+216x^97+27x^100+12x^104

The gray image is a code over GF(4) with n=116, k=8 and d=75.
This code was found by Heurico 1.16 in 6.13 seconds.