The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+90x^25+271x^26+550x^27+745x^28+1202x^29+1733x^30+2162x^31+3054x^32+3790x^33+4670x^34+5378x^35+5785x^36+6154x^37+6008x^38+5628x^39+4778x^40+3966x^41+3119x^42+2210x^43+1627x^44+1054x^45+657x^46+418x^47+255x^48+122x^49+52x^50+38x^51+11x^52+6x^53+2x^54

The gray image is a code over GF(2) with n=74, k=16 and d=25.
This code was found by Heurico 1.10 in 108 seconds.