The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+172x^28+526x^30+934x^32+1098x^34+1331x^36+1328x^38+1316x^40+848x^42+426x^44+162x^46+35x^48+6x^50+7x^52+2x^56

The gray image is a code over GF(2) with n=74, k=13 and d=28.
This code was found by Heurico 1.16 in 4.28 seconds.