The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+80x^24+128x^25+173x^26+218x^27+257x^28+306x^29+324x^30+362x^31+381x^32+370x^33+337x^34+350x^35+252x^36+198x^37+162x^38+94x^39+50x^40+22x^41+25x^42+3x^44+2x^46+1x^50

The gray image is a code over GF(2) with n=64, k=12 and d=24.
This code was found by Heurico 1.16 in 0.834 seconds.