The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+438x^72+228x^73+168x^74+480x^75+804x^76+228x^77+96x^78+321x^80+204x^81+72x^82+288x^83+612x^84+108x^85+48x^86

The gray image is a code over GF(4) with n=104, k=6 and d=72.
This code was found by Heurico 1.16 in 0.016 seconds.