The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+196x^34+231x^36+264x^38+110x^40+168x^42+38x^44+8x^46+1x^48+4x^50+3x^52

The gray image is a code over GF(2) with n=152, k=10 and d=68.
This code was found by Heurico 1.16 in 94.3 seconds.