The generator matrix

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

generates a code of length 29 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+29x^26+44x^28+27x^30+15x^32+6x^34+4x^36+1x^38+1x^50

The gray image is a code over GF(2) with n=58, k=7 and d=26.
This code was found by Heurico 1.16 in 0.00535 seconds.