The generator matrix

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

generates a code of length 26 over GR(16,4) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+105x^60+309x^64+456x^68+192x^69+504x^72+1728x^73+591x^76+5184x^77+702x^80+5184x^81+591x^84+492x^88+264x^92+72x^96+9x^100

The gray image is a code over GF(4) with n=104, k=7 and d=60.
This code was found by Heurico 1.16 in 0.877 seconds.