The generator matrix

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

generates a code of length 75 over Z16 who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+135x^68+548x^69+1453x^70+2126x^71+3051x^72+3086x^73+4506x^74+3574x^75+4311x^76+3060x^77+2921x^78+1686x^79+1154x^80+608x^81+268x^82+114x^83+76x^84+24x^85+31x^86+12x^87+6x^88+2x^89+2x^90+8x^91+2x^92+3x^94

The gray image is a code over GF(2) with n=600, k=15 and d=272.
This code was found by Heurico 1.16 in 12.6 seconds.