The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  2  1  1  1  1  1  1  1  1  1  0  X  1  1  1  1  1  X  2  X
 0  X  0  0  0  X X+2  X  0  2  X X+2  0  2  X  X  2  0 X+2 X+2 X+2  2  2  2  X  2  X  0 X+2 X+2  X  2 X+2  0  0  X  2
 0  0  X  0  X  X  X  2  0  2 X+2 X+2  X  X  2  2 X+2  X X+2  X  X  2  0  0  0 X+2 X+2  X X+2  2  0  X  0  X  X X+2 X+2
 0  0  0  X  X  2 X+2 X+2  0 X+2  2 X+2  X  0  X  0  X X+2  0  2  X  2  0 X+2  2  0  0  2  X X+2 X+2  2  0 X+2  X  2  X
 0  0  0  0  2  2  2  2  2  2  0  0  0  2  0  2  0  2  0  2  0  0  2  2  0  2  2  0  2  2  0  0  2  2  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+84x^32+20x^33+126x^34+64x^35+199x^36+88x^37+174x^38+64x^39+99x^40+20x^41+42x^42+28x^44+10x^46+4x^48+1x^60

The gray image is a code over GF(2) with n=148, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0585 seconds.