The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^28+295x^30+452x^32+575x^34+665x^36+635x^38+603x^40+446x^42+224x^44+85x^46+23x^48+11x^50+1x^52+1x^54+1x^56

The gray image is a code over GF(2) with n=74, k=12 and d=28.
This code was found by Heurico 1.16 in 1.02 seconds.