The generator matrix

 1  0  1  1  1 X+2  1  1  0  1  1 X+2  1  0  1  1 X+2  1  1 X+2  1  0  1  2  1  1  1  1  1 X+2  1  1  1  0  1  1 X+2  1  1  X  X  X  0
 0  1 X+1 X+2  1  1  0 X+1  1 X+2  3  1  0  1 X+1  3  1  3 X+2  1 X+1  1  0  1  X  3  0 X+2 X+2  1  3  2 X+2  1  X X+2  1 X+1 X+1  X  2  0  X
 0  0  2  0  0  0  0  0  0  2  0  0  2  0  2  2  2  2  2  2  2  2  0  2  0  0  2  0  0  0  0  2  2  2  0  0  2  0  2  2  0  2  0
 0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  2  2  0  2  2  0  0  0  2  2  2  0  0  2  0  0  2  2  0  2  0  0  0  0  0  2  2  0
 0  0  0  0  2  0  0  0  2  0  2  0  0  2  0  2  0  2  0  2  0  2  0  0  0  0  0  2  2  2  0  0  2  2  2  2  0  2  2  0  2  2  0
 0  0  0  0  0  2  0  2  2  0  2  0  0  0  0  0  2  2  2  2  2  0  2  0  2  0  2  2  0  0  2  2  0  2  0  0  2  2  0  0  0  2  2
 0  0  0  0  0  0  2  2  0  2  2  2  0  2  2  2  0  0  0  2  2  0  2  2  2  0  2  0  0  2  0  0  0  0  2  0  2  2  0  0  2  0  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+44x^37+148x^38+64x^39+315x^40+88x^41+324x^42+128x^43+332x^44+80x^45+268x^46+64x^47+111x^48+40x^49+12x^50+4x^52+4x^53+16x^54+5x^56

The gray image is a code over GF(2) with n=172, k=11 and d=74.
This code was found by Heurico 1.16 in 17.8 seconds.