The generator matrix

 1  0  1  1  1  0  1  1  2  1  1  2  1  1  0  1  1  2  1  1  0  1  1  2  1  1  1  1  2
 0  1  1  0  3  1  2  3  1  2  1  1  0  3  1  2  1  1  0  3  1  2  1  1  0  0  0  2  2
 0  0  2  0  2  0  0  2  0  0  2  0  2  0  2  2  0  2  2  0  2  2  0  2  0  0  2  2  0
 0  0  0  2  2  2  2  0  2  0  2  0  2  0  0  2  0  0  0  2  2  0  2  2  0  2  2  0  0

generates a code of length 29 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+36x^28+16x^30+9x^32+2x^40

The gray image is a code over GF(2) with n=58, k=6 and d=28.
This code was found by Heurico 1.16 in 0.00389 seconds.