The generator matrix

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

generates a code of length 41 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+79x^28+42x^30+169x^32+24x^33+112x^34+96x^35+197x^36+224x^37+178x^38+416x^39+238x^40+528x^41+231x^42+416x^43+201x^44+224x^45+232x^46+96x^47+98x^48+24x^49+156x^50+35x^52+58x^54+6x^56+12x^58+2x^62+1x^74

The gray image is a code over GF(2) with n=82, k=12 and d=28.
This code was found by Heurico 1.16 in 1.81 seconds.