The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+36x^25+114x^26+244x^27+381x^28+624x^29+890x^30+1166x^31+1527x^32+1900x^33+2341x^34+2646x^35+2858x^36+2976x^37+2968x^38+2868x^39+2498x^40+1936x^41+1534x^42+1184x^43+783x^44+524x^45+316x^46+206x^47+134x^48+64x^49+27x^50+6x^51+10x^52+4x^53+2x^54

The gray image is a code over GF(2) with n=74, k=15 and d=25.
This code was found by Heurico 1.16 in 59.8 seconds.