The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+54x^32+40x^33+64x^34+40x^35+156x^36+48x^37+220x^38+48x^39+158x^40+40x^41+81x^42+40x^43+12x^44+12x^46+3x^48+6x^50+1x^58

The gray image is a code over GF(2) with n=152, k=10 and d=64.
This code was found by Heurico 1.16 in 0.0654 seconds.