The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+42x^25+151x^26+272x^27+445x^28+654x^29+978x^30+1160x^31+1536x^32+1838x^33+2196x^34+2632x^35+2775x^36+3026x^37+2884x^38+2732x^39+2431x^40+2044x^41+1587x^42+1170x^43+847x^44+504x^45+350x^46+210x^47+143x^48+84x^49+42x^50+14x^51+13x^52+4x^54+2x^55+1x^56

The gray image is a code over GF(2) with n=74, k=15 and d=25.
This code was found by Heurico 1.10 in 23.2 seconds.