The generator matrix

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

generates a code of length 26 over GR(16,4) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+93x^72+192x^75+72x^76+576x^79+27x^80+21x^84+15x^88+18x^92+9x^100

The gray image is a code over GF(4) with n=104, k=5 and d=72.
This code was found by Heurico 1.16 in 0.031 seconds.