The generator matrix

 1  0  0  0  1  1  1  2  1  1  1  2  0  2  1  1  2  1  1  1  1  1  1  1  1  1  1  2  2  2  2  1  1  0  2  1  1
 0  1  0  0  0  0  2  0  1  1  3  1  1  1  1  2  1  3  3  0  0  2  3  1  2  2  1  1  2  0  2  3  1  0  2  3  0
 0  0  1  0  0  1  1  1  1  3  2  1  3  0  2  0  2  0  3  1  3  2  2  0  1  3  1  0  2  2  1  2  2  2  1  0  3
 0  0  0  1  1  3  0  1  2  1  2  0  3  1  3  3  2  0  1  1  2  1  0  3  3  3  2  3  1  1  2  3  1  1  2  1  3
 0  0  0  0  2  2  0  2  0  2  0  0  2  2  0  0  2  2  0  0  2  2  2  2  2  0  2  0  0  0  0  0  0  2  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+40x^32+86x^33+53x^34+55x^36+108x^37+39x^38+17x^40+40x^41+21x^42+13x^44+20x^45+13x^46+2x^48+2x^49+2x^50

The gray image is a code over GF(2) with n=74, k=9 and d=32.
This code was found by Heurico 1.16 in 0.0234 seconds.