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  1  1  1  1  1  1  1  1  1  1
 0  2  0  0  0  0  0  2  0  0  0  2  2  0  2  2  0  0  2  0  0  2  2  0  0  2  2  2  2  0  0  0  0  2  2  2  0  0  0  0  2  2  2
 0  0  2  0  0  0  0  2  0  0  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  2  0  2  0  0  0  2  2  2  2  0  0  0  2  2  2  2  0
 0  0  0  2  0  0  0  2  0  2  2  0  0  2  0  2  0  0  2  0  2  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  2  2  2  2  0  0  0
 0  0  0  0  2  0  0  2  0  2  0  0  2  2  2  0  2  0  2  2  0  0  2  0  2  0  2  2  0  2  2  0  0  0  0  2  2  2  2  2  2  2  2
 0  0  0  0  0  2  0  2  2  0  0  0  2  2  0  2  2  0  0  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  2  2  0  0  2  2  0
 0  0  0  0  0  0  2  2  2  0  2  0  0  0  2  2  0  2  0  2  0  0  2  0  2  2  2  0  0  2  2  0  0  2  2  0  2  0  2  0  0  2  0

generates a code of length 43 over Z4 who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+21x^38+42x^40+128x^43+42x^46+21x^48+1x^86

The gray image is a code over GF(2) with n=86, k=8 and d=38.
This code was found by Heurico 1.16 in 0.0193 seconds.