The generator matrix

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

generates a code of length 27 over GR(16,4) who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+171x^64+48x^65+24x^66+60x^67+411x^68+324x^69+360x^70+420x^71+603x^72+972x^73+2160x^74+1560x^75+2250x^76+2664x^77+6480x^78+3720x^79+5829x^80+3720x^81+9720x^82+4332x^83+5802x^84+3348x^85+5832x^86+2196x^87+621x^88+1212x^89+402x^92+231x^96+63x^100

The gray image is a code over GF(4) with n=108, k=8 and d=64.
This code was found by Heurico 1.16 in 7.46 seconds.