The generator matrix

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

generates a code of length 39 over GR(16,4) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+192x^102+216x^103+276x^104+384x^105+1692x^106+804x^107+975x^108+1116x^109+3876x^110+1860x^111+1605x^112+2400x^113+6576x^114+2856x^115+2706x^116+3768x^117+8520x^118+3552x^119+2949x^120+3456x^121+7356x^122+2292x^123+1422x^124+1164x^125+2388x^126+708x^127+180x^128+120x^130+51x^132+39x^136+24x^140+6x^144+3x^148+3x^156

The gray image is a code over GF(4) with n=156, k=8 and d=102.
This code was found by Heurico 1.16 in 13.7 seconds.