The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  4  1  1  1  1  4  1  4  1  2  4  2  1  1
 0  1  1  0  1  1  3  0  1  4  7  1  3  6  1  3  1  6  0  3  6  1  2  0  4
 0  0  2  0  0  0  0  6  6  0  2  4  2  2  4  2  2  0  2  4  2  6  2  0  4
 0  0  0  2  0  6  2  6  6  0  6  4  6  0  2  0  4  6  2  4  0  0  4  2  0
 0  0  0  0  2  0  2  6  6  2  2  2  4  6  0  2  6  2  4  4  2  0  4  2  2
 0  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  4  0  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  4  4  0  0  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4
 0  0  0  0  0  0  0  0  4  4  0  4  4  0  4  4  4  0  4  0  0  4  4  0  0

generates a code of length 25 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+76x^16+216x^17+369x^18+736x^19+1458x^20+2820x^21+4862x^22+7410x^23+9613x^24+10320x^25+9598x^26+7512x^27+4912x^28+2872x^29+1480x^30+700x^31+301x^32+152x^33+73x^34+24x^35+22x^36+4x^37+2x^38+2x^39+1x^40

The gray image is a code over GF(2) with n=100, k=16 and d=32.
This code was found by Heurico 1.16 in 30.8 seconds.