The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+83x^30+164x^31+167x^32+128x^34+356x^35+124x^36+171x^38+348x^39+160x^40+96x^42+140x^43+36x^44+33x^46+16x^47+24x^48+1x^54

The gray image is a code over GF(2) with n=74, k=11 and d=30.
This code was found by Heurico 1.16 in 80 seconds.