The generator matrix

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

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+87x^32+120x^33+264x^34+160x^35+347x^36+208x^37+272x^38+160x^39+194x^40+120x^41+60x^42+36x^44+8x^46+6x^48+4x^50+1x^52

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 0.124 seconds.