The generator matrix

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

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+56x^37+31x^38+54x^40+136x^41+176x^42+128x^43+176x^44+136x^45+42x^46+24x^48+56x^49+7x^54+1x^80

The gray image is a code over GF(2) with n=172, k=10 and d=74.
This code was found by Heurico 1.16 in 0.106 seconds.