The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+49x^28+80x^29+149x^30+348x^31+417x^32+600x^33+902x^34+1052x^35+1109x^36+956x^37+855x^38+680x^39+423x^40+272x^41+109x^42+92x^43+46x^44+12x^45+32x^46+4x^47+3x^48+1x^50

The gray image is a code over GF(2) with n=144, k=13 and d=56.
This code was found by Heurico 1.16 in 1.86 seconds.