The generator matrix

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

generates a code of length 24 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+91x^16+140x^17+272x^18+380x^19+492x^20+578x^21+711x^22+950x^23+894x^24+882x^25+824x^26+742x^27+492x^28+294x^29+222x^30+98x^31+78x^32+26x^33+16x^34+6x^35+3x^38

The gray image is a code over GF(2) with n=48, k=13 and d=16.
This code was found by Heurico 1.16 in 1.86 seconds.