The generator matrix

1 0 0 0 0 1 1 1 2 0 1 1 0 0 2 1 1 1 0 2 1 2 1 1 2 2 1 2 1 0 0 1 1 1 2 0
0 1 0 0 0 0 0 0 0 0 0 2 1 1 1 1 3 2 1 1 2 1 3 2 2 1 3 0 3 1 1 2 0 1 1 0
0 0 1 0 0 0 1 1 1 2 0 0 0 2 2 1 3 0 1 1 2 0 2 3 1 3 1 1 0 1 3 0 1 1 2 2
0 0 0 1 0 1 0 1 3 2 2 1 1 1 0 0 1 3 2 1 2 0 3 2 3 2 2 2 3 2 2 0 0 1 3 2
0 0 0 0 1 1 3 2 1 1 1 0 2 1 1 0 3 3 0 3 0 3 0 2 1 2 3 2 2 2 3 2 3 0 0 1
0 0 0 0 0 2 2 0 2 2 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 2 0 0 2 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+66x^29+126x^30+140x^31+178x^32+174x^33+130x^34+140x^35+162x^36+152x^37+180x^38+162x^39+117x^40+102x^41+74x^42+64x^43+45x^44+18x^45+2x^46+6x^47+8x^48+1x^52

The gray image is a code over GF(2) with n=72, k=11 and d=29.
This code was found by Heurico 1.10 in 0.75 seconds.