The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+67x^28+56x^29+142x^30+168x^31+241x^32+250x^33+279x^34+336x^35+278x^36+400x^37+335x^38+368x^39+312x^40+276x^41+182x^42+144x^43+111x^44+40x^45+73x^46+8x^47+14x^48+2x^49+11x^50+1x^54+1x^62

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 1.1 seconds.