The generator matrix

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

generates a code of length 43 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+68x^37+214x^38+278x^39+511x^40+396x^41+450x^42+410x^43+462x^44+292x^45+436x^46+238x^47+163x^48+70x^49+50x^50+32x^51+14x^52+4x^53+2x^54+1x^56+2x^57+2x^59

The gray image is a code over GF(2) with n=172, k=12 and d=74.
This code was found by Heurico 1.16 in 0.434 seconds.