The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^26+709x^28+1206x^30+1941x^32+2546x^34+3079x^36+2756x^38+2027x^40+1208x^42+513x^44+172x^46+46x^48+8x^50+3x^52+2x^54+1x^56

The gray image is a code over GF(2) with n=72, k=14 and d=26.
This code was found by Heurico 1.10 in 6.07 seconds.