The generator matrix

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

generates a code of length 37 over GR(16,4) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+153x^96+156x^97+180x^98+312x^99+1539x^100+984x^101+1020x^102+1368x^103+3777x^104+1740x^105+1800x^106+2112x^107+5742x^108+2832x^109+3768x^110+3840x^111+8583x^112+3444x^113+3780x^114+3528x^115+6681x^116+2520x^117+1548x^118+1128x^119+2049x^120+612x^121+192x^122+66x^124+30x^128+30x^132+12x^136+6x^140+3x^144

The gray image is a code over GF(4) with n=148, k=8 and d=96.
This code was found by Heurico 1.16 in 9.59 seconds.