The generator matrix

 1  0  0  0  1  1  1  1  1  0  2 X+2  2  1  2  1  1  X  1  X  1  1  0  X  2  1  1  1  1  1 X+2  2  1  X  1  1
 0  1  0  0  X  1  2 X+2  3  1  1  1  0 X+1  1 X+3  2  X X+2  0  X  1  X  1  1  3  0 X+3  0 X+2  1  2  2 X+2 X+3  X
 0  0  1  0  0  0  3  1  3 X+1  2  3  1 X+1  X  X  X  1 X+1  1 X+1  2  2 X+2  X  3  X X+3  3  X  1  1  0  2 X+1  X
 0  0  0  1  1 X+3  1  X  2 X+2 X+1  3  3 X+3  0  0 X+1  1  1  0  2  X  1  2 X+1 X+1  2 X+2 X+2 X+2  0  0 X+2  1  3 X+1
 0  0  0  0  2  0  0  2  0  2  2  0  2  2  0  2  2  2  0  0  2  0  0  2  2  0  0  0  0  0  2  2  2  2  2  0
 0  0  0  0  0  2  0  0  2  2  2  2  0  2  2  0  2  2  2  2  2  0  2  2  0  0  2  0  0  0  0  2  0  0  0  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+88x^29+367x^30+576x^31+1162x^32+1298x^33+1941x^34+1616x^35+2241x^36+1718x^37+2083x^38+1204x^39+1032x^40+526x^41+335x^42+120x^43+43x^44+18x^45+10x^46+4x^47+1x^56

The gray image is a code over GF(2) with n=144, k=14 and d=58.
This code was found by Heurico 1.16 in 4.86 seconds.