The generator matrix

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

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+118x^32+56x^33+334x^34+128x^35+368x^36+144x^37+298x^38+128x^39+282x^40+56x^41+90x^42+19x^44+14x^46+10x^48+1x^52+1x^56

The gray image is a code over GF(2) with n=148, k=11 and d=64.
This code was found by Heurico 1.16 in 0.125 seconds.