The generator matrix

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

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+831x^104+828x^108+1293x^112+852x^116+267x^120+18x^128+6x^136

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 9.33 seconds.