The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+179x^28+564x^30+822x^32+1104x^34+1429x^36+1350x^38+1262x^40+858x^42+389x^44+150x^46+75x^48+6x^50+3x^52

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 4.3 seconds.