The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+36x^25+115x^26+240x^27+351x^28+478x^29+639x^30+828x^31+926x^32+1010x^33+1262x^34+1408x^35+1509x^36+1520x^37+1385x^38+1216x^39+997x^40+790x^41+576x^42+420x^43+284x^44+176x^45+114x^46+44x^47+24x^48+20x^49+3x^50+4x^51+4x^52+2x^53+2x^54

The gray image is a code over GF(2) with n=72, k=14 and d=25.
This code was found by Heurico 1.10 in 5.8 seconds.