The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  2  1  1  1  4  2  1  1  2  2  1  2  4  1  2  1  2  2  2  1  2  1  2  2  2  1  1  1  1
 0 12  0  0  0  0  0  0  0 12  4 12 12  4  8  8  8 12 12 12  4  8 12  4  4 12  0 12 12  4 12  0 12  8  4  8  8  0  8  4  0  4 12  8  4  0  8 12  0  4  4  8  8  0  4  4  8 12  0  0  4  4  0  8  8  4  0  8  0  8  0  0  4  0
 0  0 12  0  0  0  4 12  4  4  4  8  0  8  4  4  8 12 12  0  8  4  0 12  0  8  4  4 12  0  4 12  8  0 12  4  8 12  0  0  8  4  0  0  4  0  0  4 12  4 12  0  0  4  8  4  0  8  8 12  8  4  4  0  0  8  8 12 12  4  0 12  0  4
 0  0  0 12  0  4  4  4  8  4  0 12  4  8 12  0  8  4  8  4  0  0  4  0 12  8  0  4  0  8  4  4 12  4 12  0  4  0  0  0  4  4  0 12  4  8  4  0 12  4  0  8  4  8 12  8  4 12  4  0  4 12  8  4 12  4 12  4  4 12  8 12  0 12
 0  0  0  0 12  4  0  4  4  8  0  8 12  4  8  0  4  4  0  8  8 12  4 12  4 12  8  4 12  0  4  0  8  8  0  8  4  4  0 12  8 12  8  0  0  4 12 12 12 12  0 12 12 12 12  8  8  4  0  4  4 12 12  4  8  8 12  4  8  4  8 12  4  8
 0  0  0  0  0  8  0  0  8  0  8  8  8  0  8  8  8  8  0  8  0  0  0  8  8  8  0  0  0  8  0  0  0  0  0  8  0  0  8  8  8  0  0  0  8  0  8  0  8  8  0  0  8  0  0  8  0  8  0  8  0  0  8  8  8  0  8  0  0  0  8  0  8  0
 0  0  0  0  0  0  8  0  0  0  0  0  0  8  0  8  8  8  0  8  8  0  8  0  8  0  8  0  8  8  8  0  8  8  8  0  8  8  0  8  8  0  0  8  0  0  8  0  8  0  8  8  0  8  8  8  0  0  0  0  0  0  8  0  8  8  8  8  8  8  0  8  0  0

generates a code of length 74 over Z16 who´s minimum homogenous weight is 64.

Homogenous weight enumerator: w(x)=1x^0+156x^64+368x^66+668x^68+952x^70+1813x^72+2048x^73+4560x^74+2048x^75+1802x^76+860x^78+512x^80+272x^82+170x^84+84x^86+61x^88+8x^90+1x^112

The gray image is a code over GF(2) with n=592, k=14 and d=256.
This code was found by Heurico 1.16 in 9.16 seconds.