The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1 a^2*X  1  1 a^2*X  1  0  X  1  1  1  X  1  1  1  1  0 a^2*X  1  1  1  1  1  1  1 a*X
 0  1  0  0  0 a^2*X  1 a^2*X+a a^2 a^2*X+1 a^2*X+1  a a^2*X+a  1 a^2 a^2*X+a^2  1  a  1 a*X a^2*X+1 a*X+a^2 a*X+1  1 a^2*X+a^2 X+a^2 X+a a*X+1  1  1 X+a a*X+a^2 a*X a^2*X+a  0  a a^2*X  1
 0  0  1  1  a a^2  1 X+1  1  a  0  X a^2 a^2 a*X+a^2 a*X+a X+1 X+a  a  1 a^2*X+a^2 a*X+a  X X+1 a*X a^2*X+1  0 a^2*X+a a*X a^2*X+1 a^2*X+1 a^2*X+1  X X+a a*X+a a*X+1  0 a^2*X+a^2
 0  0  0 a^2*X  0  0  0  X  X  X a^2*X a*X a^2*X a^2*X a*X a*X a*X a*X  X a^2*X  X  0 a*X a*X  0  0  X  X  0  0 a*X a*X  0 a*X a^2*X a^2*X  X a*X
 0  0  0  0  X a^2*X a*X  X a^2*X a*X a*X  X  X a*X a*X  0  X a*X  0  X a^2*X a^2*X a^2*X a*X a*X  X a*X  X  X a^2*X a*X  X a^2*X a^2*X  X  X a*X a^2*X

generates a code of length 38 over F4[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+603x^100+240x^101+156x^102+732x^103+2400x^104+1128x^105+636x^106+1428x^107+4788x^108+1884x^109+1176x^110+2760x^111+8361x^112+3408x^113+1848x^114+3480x^115+10446x^116+3528x^117+1740x^118+3036x^119+6561x^120+1896x^121+588x^122+852x^123+1506x^124+204x^125+72x^128+27x^132+39x^136+6x^140+6x^144

The gray image is a linear code over GF(4) with n=152, k=8 and d=100.
This code was found by Heurico 1.16 in 10 seconds.