The generator matrix

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

generates a code of length 38 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+61x^30+200x^31+424x^32+656x^33+932x^34+1258x^35+1613x^36+1950x^37+2068x^38+2092x^39+1728x^40+1232x^41+956x^42+562x^43+305x^44+190x^45+75x^46+48x^47+22x^48+4x^49+4x^50+2x^52+1x^56

The gray image is a code over GF(2) with n=152, k=14 and d=60.
This code was found by Heurico 1.16 in 6.15 seconds.