The generator matrix

 1  0  1  1  1 X+2  1  1  2  1  1  2  1  1 X+2  X  1  1  1  1  2  1 X+2  1  1  1  1  1  1  1  1  X  1  X  1  1  1
 0  1  1 X+2 X+1  1  3  2  1  2  1  1  X X+3  1  1  2 X+3 X+3 X+2  1 X+2  1  1 X+3 X+1  1  3 X+1  3 X+1  X  1  0  0  2  X
 0  0  X  0  2  0  2  X  X X+2 X+2 X+2  X  X  0  X  0  X  2 X+2  0  0 X+2  2 X+2 X+2  X X+2  0  2  2  2  0  2  2  0 X+2
 0  0  0  2  2  2  0  2  2  0  2  0  0  2  0  0  2  0  2  2  2  0  2  0  2  0  2  0  0  2  0  0  2  2  0  0  2

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+78x^34+110x^35+38x^36+56x^37+95x^38+80x^39+22x^40+8x^41+18x^42+1x^48+2x^51+2x^52+1x^54

The gray image is a code over GF(2) with n=148, k=9 and d=68.
This code was found by Heurico 1.16 in 0.0271 seconds.