The generator matrix

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

generates a code of length 25 over Z4 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+25x^16+38x^17+127x^18+110x^19+196x^20+208x^21+241x^22+400x^23+417x^24+524x^25+450x^26+412x^27+276x^28+224x^29+174x^30+96x^31+98x^32+30x^33+31x^34+6x^35+8x^36+1x^38+3x^40

The gray image is a code over GF(2) with n=50, k=12 and d=16.
This code was found by Heurico 1.16 in 0.447 seconds.