The generator matrix

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

generates a code of length 33 over GR(16,4) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+432x^89+492x^90+288x^91+90x^92+1212x^93+1440x^94+612x^95+57x^96+1668x^97+1800x^98+468x^99+12x^100+1980x^101+2208x^102+684x^103+45x^104+1308x^105+972x^106+252x^107+18x^108+312x^109+24x^112+9x^120

The gray image is a code over GF(4) with n=132, k=7 and d=89.
This code was found by Heurico 1.16 in 94.5 seconds.