The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+61x^26+76x^27+198x^28+252x^29+360x^30+394x^31+489x^32+596x^33+585x^34+722x^35+660x^36+734x^37+657x^38+638x^39+512x^40+382x^41+328x^42+202x^43+169x^44+78x^45+51x^46+16x^47+17x^48+6x^49+6x^50+1x^52+1x^56

The gray image is a code over GF(2) with n=72, k=13 and d=26.
This code was found by Heurico 1.10 in 1.58 seconds.