The generator matrix

 1  0  1  1  1 14  1  1 12  1  1  2  1  1  8  1  1 14  1  1  1  1  0 12  2  6 10  4 14  1  1  1  1  1  1  4  1  1 10  1  1  8  6  1  1  1  1  1  1  2  1  1  1  0 12 10  1  1  1  1  1  1  1  6 12  4  1  1  8  1  1  8  1  1  1  1
 0  1 11 14  5  1  7 12  1  2  9  1  8  3  1  6 13  1  4 15 10  1  1  1  1  1  1  1  1  8  7  6  7  4 13  1  3 12  1  2  1  1  1  2  0 14  5 13 11  6  1  7 11  1  1  1  8  2 10  7 14  2  4  1  2  1  4  3  1  5  7  1  5 15  8  6
 0  0 12  4  8 12 12  0  0  4  8 12  4  8 12  0 12  4  4  8  0 12  0  0  4  0  8 12  8  4 12  8  0  4 12  4  0  8  8  4 12  4  8  8  8  4  0  0 12  0  8  4  0 12 12 12  8  0 12  4  0 12  8  0  4  8 12  4  8  4  8  4  0  0 12  0
 0  0  0  8  0  8  8  8  8  0  8  0  0  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  0  0  8  8  8  0  0  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  8  8  8  8  0

generates a code of length 76 over Z16 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+122x^72+260x^73+310x^74+238x^75+325x^76+162x^77+238x^78+174x^79+143x^80+56x^81+8x^82+4x^83+2x^86+2x^89+2x^98+1x^100

The gray image is a code over GF(2) with n=608, k=11 and d=288.
This code was found by Heurico 1.16 in 0.456 seconds.