The generator matrix

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

generates a code of length 37 over F4[X]/(X^2) who´s minimum homogenous weight is 104.

Homogenous weight enumerator: w(x)=1x^0+249x^104+432x^105+348x^106+411x^108+480x^109+420x^110+309x^112+168x^113+156x^114+300x^116+336x^117+204x^118+129x^120+120x^121+24x^122+9x^124

The gray image is a linear code over GF(4) with n=148, k=6 and d=104.
This code was found by Heurico 1.16 in 0.031 seconds.