The generator matrix

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

generates a code of length 36 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+58x^29+201x^30+246x^31+606x^32+516x^33+1094x^34+710x^35+1384x^36+740x^37+1066x^38+518x^39+526x^40+212x^41+184x^42+58x^43+40x^44+10x^45+13x^46+4x^47+3x^48+2x^50

The gray image is a code over GF(2) with n=144, k=13 and d=58.
This code was found by Heurico 1.16 in 1.34 seconds.