The generator matrix

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

generates a code of length 36 over Z4 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+70x^29+109x^30+146x^31+195x^32+152x^33+154x^34+136x^35+142x^36+176x^37+175x^38+158x^39+112x^40+96x^41+83x^42+70x^43+30x^44+18x^45+20x^46+3x^50+2x^51

The gray image is a code over GF(2) with n=72, k=11 and d=29.
This code was found by Heurico 1.16 in 0.462 seconds.