The generator matrix

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

generates a code of length 37 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+170x^32+318x^33+497x^34+422x^35+544x^36+402x^37+510x^38+342x^39+347x^40+226x^41+151x^42+66x^43+74x^44+14x^45+8x^46+2x^47+2x^50

The gray image is a code over GF(2) with n=148, k=12 and d=64.
This code was found by Heurico 1.16 in 0.322 seconds.