The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^29+157x^30+130x^31+97x^32+166x^33+257x^34+162x^35+56x^36+166x^37+214x^38+150x^39+72x^40+98x^41+126x^42+70x^43+24x^44+18x^45+13x^46+6x^48+1x^50

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 91.3 seconds.