The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+106x^26+21x^28+76x^30+6x^32+34x^34+3x^36+8x^38+1x^40

The gray image is a code over GF(2) with n=58, k=8 and d=26.
This code was found by Heurico 1.16 in 0.877 seconds.