The generator matrix

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

generates a code of length 43 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+87x^28+43x^30+227x^32+143x^34+16x^35+354x^36+128x^37+283x^38+448x^39+466x^40+896x^41+391x^42+1120x^43+448x^44+896x^45+539x^46+448x^47+300x^48+128x^49+361x^50+16x^51+126x^52+207x^54+30x^56+61x^58+9x^60+14x^62+4x^66+2x^70

The gray image is a code over GF(2) with n=86, k=13 and d=28.
This code was found by Heurico 1.16 in 14 seconds.