The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+215x^28+504x^30+869x^32+1080x^34+1383x^36+1332x^38+1380x^40+788x^42+443x^44+132x^46+54x^48+4x^50+5x^52+2x^60

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 4.26 seconds.