The generator matrix

 1  0  0  1  1  1  1  1  1  1 2a+2 2a+2  1  1  1  0  1  1  1  1  1  1  1  1  1 2a  1  1
 0  1  0  0  0 2a+2  1 3a+2 3a+3 2a+3  1  1  a 3a+3 3a+2  1 a+1  a  1 a+1 2a+3  2 3a+1 3a+2  3 2a 3a+3  3
 0  0  1  1  a 3a+3  1  3  1  a 3a+3  1  0 3a+1 3a+3  a  2  a 3a+1 3a+3  2  3  0 2a+3  3  1 3a 3a+2
 0  0  0 2a+2  0  0  0  2  2  2 2a+2 2a 2a+2 2a+2 2a+2 2a+2 2a+2 2a  2 2a  2 2a 2a 2a+2  0 2a+2 2a 2a
 0  0  0  0  2 2a+2 2a  2 2a+2 2a  0  2  2 2a+2  0  2  2  2  0 2a+2 2a+2  0  2 2a+2  0 2a+2 2a  2

generates a code of length 28 over GR(16,4) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+168x^71+534x^72+96x^73+1140x^74+1344x^75+1860x^76+576x^77+2832x^78+2928x^79+2913x^80+1536x^81+7704x^82+5664x^83+4731x^84+2496x^85+8400x^86+5928x^87+4689x^88+1440x^89+4500x^90+2400x^91+1497x^92+78x^96+69x^100+9x^104+3x^108

The gray image is a code over GF(4) with n=112, k=8 and d=71.
This code was found by Heurico 1.16 in 51.9 seconds.