The generator matrix

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

generates a code of length 29 over GR(16,4) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+93x^76+204x^77+60x^78+552x^79+1047x^80+564x^81+120x^82+1320x^83+1392x^84+984x^85+240x^86+1512x^87+2046x^88+1320x^89+264x^90+1560x^91+1500x^92+732x^93+84x^94+432x^95+294x^96+36x^97+12x^100+12x^104+3x^108

The gray image is a code over GF(4) with n=116, k=7 and d=76.
This code was found by Heurico 1.16 in 0.391 seconds.