The generator matrix

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

generates a code of length 37 over Z4 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+61x^32+128x^34+115x^36+80x^38+49x^40+22x^42+21x^44+20x^46+9x^48+6x^50

The gray image is a code over GF(2) with n=74, k=9 and d=32.
This code was found by Heurico 1.10 in 0.016 seconds.