The generator matrix

 1  0  0  0  1  1  1  1  1  0  2 X+2  2  1  2  1  1  1 X+2  1  1  0  0  1  1  1 X+2  0 X+2  1  1  X  1  0  1  2 X+2  1
 0  1  0  0  X  1  2 X+2  3  1  1  1  0 X+1  1 X+3  2  1  1 X+3 X+3  1  X  X  2  3 X+2  2  1  2  1  1  1  2 X+3  2  1 X+2
 0  0  1  0  0  0  3  1  3 X+1  2  3  1 X+1  X X+2  X X+1 X+1  X  X  1  1 X+1  0 X+3  1  2  2 X+1 X+3 X+1  X  0  2  1  0  2
 0  0  0  1  1 X+3  1  X  2 X+2 X+1  3  3 X+3  0  0 X+1 X+1  3 X+3  0  X  X  2 X+2  0  2  1 X+3  3  X X+2  2  1  X X+3  0  3
 0  0  0  0  2  0  0  2  0  2  2  0  2  2  0  2  2  2  0  0  2  2  0  2  0  0  2  0  2  2  2  0  0  2  2  2  0  2
 0  0  0  0  0  2  0  0  2  2  2  2  0  2  2  2  2  0  0  0  0  0  2  2  2  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 31.

Homogenous weight enumerator: w(x)=1x^0+126x^31+394x^32+750x^33+996x^34+1408x^35+1502x^36+1984x^37+1932x^38+2220x^39+1510x^40+1422x^41+956x^42+634x^43+298x^44+132x^45+84x^46+26x^47+6x^48+2x^51+1x^64

The gray image is a code over GF(2) with n=152, k=14 and d=62.
This code was found by Heurico 1.16 in 5.32 seconds.