The generator matrix

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

generates a code of length 36 over GR(16,4) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+477x^92+756x^93+1020x^94+828x^95+2811x^96+3864x^97+3312x^98+2928x^99+6852x^100+9108x^101+8472x^102+7020x^103+15348x^104+17736x^105+15888x^106+12672x^107+22797x^108+23964x^109+18972x^110+13332x^111+20661x^112+18504x^113+11424x^114+5904x^115+8037x^116+5724x^117+2352x^118+324x^119+759x^120+216x^121+36x^124+27x^128+3x^132+9x^136+6x^140

The gray image is a code over GF(4) with n=144, k=9 and d=92.
This code was found by Heurico 1.16 in 124 seconds.