The generator matrix 1 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 2 1 1 0 1 0 0 0 0 0 0 0 0 1 3 2 1 0 0 1 2 1 1 2 1 0 2 3 1 2 1 1 2 0 0 0 0 1 0 0 0 0 0 0 0 2 1 3 1 2 1 0 2 2 3 1 1 3 0 0 2 1 2 1 1 2 1 0 0 0 1 0 0 1 2 3 1 0 0 0 0 0 0 2 1 1 2 2 1 3 1 2 1 1 0 3 0 2 2 0 0 0 0 1 0 1 3 2 3 0 0 0 0 2 1 2 2 3 0 3 1 0 3 3 0 1 1 1 2 1 0 0 0 0 0 0 1 2 1 3 3 1 2 3 3 1 3 2 3 0 1 2 2 0 1 2 2 0 0 1 2 1 3 generates a code of length 32 over Z4 who´s minimum homogenous weight is 24. Homogenous weight enumerator: w(x)=1x^0+83x^24+108x^25+164x^26+242x^27+288x^28+290x^29+325x^30+358x^31+334x^32+402x^33+347x^34+354x^35+261x^36+198x^37+157x^38+66x^39+50x^40+26x^41+29x^42+4x^43+7x^44+2x^46 The gray image is a code over GF(2) with n=64, k=12 and d=24. This code was found by Heurico 1.10 in 0.312 seconds.