The generator matrix

 1  0  0  1  1  1  X  X X+2  1  1  1 X+2  1  1  0  1  1  X  1  1  1  1  X  X  1  1  1  X  1  1  0  1  X  1  1  1
 0  1  0  0  3 X+1  1 X+2  1 X+2  3 X+2  1 X+3  1  1 X+3  X  X X+3  1  X X+2  1  1  X  2 X+3  1  0  3  1 X+2  1  X  2  0
 0  0  1  1  1  0 X+1  1  X  X  1 X+1 X+3  0 X+2  1 X+3  2  1 X+1  2  2  3  1 X+2 X+1  1  1  2 X+3  X X+1  3  0  X  X  2
 0  0  0  X X+2  2  X  X  X X+2  0  0  0  X  2 X+2  2  2  2 X+2  X X+2  0  0  2  X  2 X+2  2  X  0 X+2  2 X+2  2  X  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+32x^32+206x^33+129x^34+466x^35+116x^36+324x^37+106x^38+272x^39+51x^40+218x^41+53x^42+42x^43+22x^44+2x^45+4x^47+2x^48+2x^53

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 0.0981 seconds.