The generator matrix

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

generates a code of length 27 over GR(16,4) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+66x^72+216x^73+300x^76+720x^77+201x^80+1056x^81+276x^84+1008x^85+132x^88+72x^89+24x^92+24x^96

The gray image is a code over GF(4) with n=108, k=6 and d=72.
This code was found by Heurico 1.16 in 0.0351 seconds.