The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 2 1 X X 1 X X 1 1 X 0 X 1 X 1 1 0 2
0 X 0 0 0 0 0 2 2 X X+2 X X X X+2 0 X 2 2 0 X 0 2 X+2 X+2 0 X+2 X 2 X+2 X 0 X+2 2 X+2 2 X 0
0 0 X 0 0 2 X+2 X X X X X X+2 0 0 2 0 0 2 X+2 0 2 2 0 2 0 X+2 2 X 0 X X X 0 X 2 X 0
0 0 0 X 0 X+2 X+2 X 2 X+2 X+2 0 0 X X X 0 2 2 2 0 X 0 X 0 X X+2 2 0 X+2 X+2 2 X+2 2 2 2 0 2
0 0 0 0 X X 2 X+2 X X+2 2 2 X 2 X+2 X X X+2 2 0 X+2 2 X+2 X X X X+2 2 0 X X X+2 X X+2 X X X+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+126x^32+12x^33+220x^34+88x^35+339x^36+172x^37+284x^38+144x^39+226x^40+68x^41+178x^42+24x^43+88x^44+4x^45+48x^46+19x^48+6x^50+1x^52
The gray image is a code over GF(2) with n=152, k=11 and d=64.
This code was found by Heurico 1.16 in 0.167 seconds.