The generator matrix

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

generates a code of length 39 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+56x^30+100x^31+298x^32+356x^33+662x^34+976x^35+1252x^36+1668x^37+1828x^38+2012x^39+1760x^40+1660x^41+1414x^42+972x^43+594x^44+332x^45+235x^46+96x^47+61x^48+16x^49+28x^50+4x^51+2x^52+1x^62

The gray image is a code over GF(2) with n=156, k=14 and d=60.
This code was found by Heurico 1.16 in 7.01 seconds.