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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+68x^74+98x^75+148x^76+224x^77+293x^78+306x^79+424x^80+604x^81+1049x^82+1612x^83+2135x^84+2630x^85+2253x^86+1586x^87+929x^88+542x^89+423x^90+260x^91+187x^92+146x^93+127x^94+80x^95+66x^96+62x^97+56x^98+22x^99+14x^100+16x^101+18x^102+4x^103+1x^126

The gray image is a code over GF(2) with n=680, k=14 and d=296.
This code was found by Heurico 1.16 in 10.8 seconds.