The generator matrix
1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1
0 2 0 0 0 0 0 2 0 2 2 0 0 2 2 0
0 0 2 0 0 0 2 2 0 2 0 0 2 2 0 0
0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 0
0 0 0 0 2 0 2 0 2 2 0 2 0 2 0 0
0 0 0 0 0 2 2 0 2 0 2 0 0 2 2 0
generates a code of length 16 over Z4 who´s minimum homogenous weight is 12.
Homogenous weight enumerator: w(x)=1x^0+16x^12+11x^14+32x^15+11x^16+32x^17+12x^18+4x^20+8x^22+1x^30
The gray image is a code over GF(2) with n=32, k=7 and d=12.
This code was found by Heurico 1.16 in 0.00141 seconds.