The generator matrix

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

generates a code of length 27 over GR(16,4) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+420x^66+492x^67+996x^68+504x^69+3048x^70+1860x^71+4839x^72+2844x^73+8940x^74+6816x^75+12198x^76+10320x^77+20352x^78+13368x^79+25470x^80+19128x^81+29388x^82+17436x^83+24606x^84+15192x^85+20184x^86+8388x^87+9522x^88+1164x^89+3684x^90+792x^91+114x^92+57x^96+6x^100+15x^104

The gray image is a code over GF(4) with n=108, k=9 and d=66.
This code was found by Heurico 1.16 in 82.1 seconds.