The generator matrix

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

generates a code of length 37 over F4[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+162x^92+363x^96+402x^100+192x^102+498x^104+1728x^106+483x^108+5184x^110+507x^112+5184x^114+534x^116+471x^120+348x^124+225x^128+84x^132+15x^136+3x^140

The gray image is a linear code over GF(4) with n=148, k=7 and d=92.
This code was found by Heurico 1.16 in 1.45 seconds.