The generator matrix

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

generates a code of length 32 over Z4 who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+74x^23+145x^24+222x^25+361x^26+432x^27+450x^28+512x^29+674x^30+754x^31+774x^32+826x^33+714x^34+622x^35+584x^36+414x^37+260x^38+156x^39+87x^40+64x^41+37x^42+10x^43+6x^44+10x^45+2x^46+1x^48

The gray image is a code over GF(2) with n=64, k=13 and d=23.
This code was found by Heurico 1.16 in 3.29 seconds.