The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+116x^28+97x^32+30x^36+6x^40+6x^44

The gray image is a code over GF(2) with n=62, k=8 and d=28.
This code was found by Heurico 1.16 in 0.411 seconds.