The generator matrix

 1  1  1  1  1  1  1  1  1  2  1  2  2  1  2  2  4  0  1  1  1  0  1  1
 0  2  0  0  0  2  6  2  0  0  4  4  2  4  2  4  2  2  4  2  2  4  2  2
 0  0  2  0  2  2  6  0  0  2  0  2  6  6  4  0  6  2  6  2  0  4  4  2
 0  0  0  2  2  0  6  2  0  6  2  0  4  0  2  2  0  2  2  4  2  2  2  0
 0  0  0  0  4  0  0  0  4  4  4  4  4  0  4  4  4  4  0  0  4  4  0  0
 0  0  0  0  0  4  0  0  4  4  0  4  0  4  0  0  4  0  0  4  4  0  4  4
 0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  4  4  4  4  4  0  4
 0  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4  0  0  4  4  0  0  4  0

generates a code of length 24 over Z8 who´s minimum homogenous weight is 16.

Homogenous weight enumerator: w(x)=1x^0+31x^16+76x^17+133x^18+202x^19+409x^20+594x^21+882x^22+1178x^23+1169x^24+1162x^25+916x^26+622x^27+404x^28+198x^29+110x^30+46x^31+30x^32+18x^33+7x^34+3x^36+1x^40

The gray image is a code over GF(2) with n=96, k=13 and d=32.
This code was found by Heurico 1.16 in 0.83 seconds.