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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+62x^75+104x^76+182x^77+249x^78+288x^79+381x^80+422x^81+735x^82+856x^83+1546x^84+2216x^85+3234x^86+4148x^87+4123x^88+4240x^89+3014x^90+2270x^91+1574x^92+786x^93+716x^94+356x^95+333x^96+274x^97+176x^98+168x^99+78x^100+64x^101+54x^102+40x^103+37x^104+8x^105+10x^106+4x^107+10x^108+3x^110+4x^112+1x^114+1x^128

The gray image is a code over GF(2) with n=704, k=15 and d=300.
This code was found by Heurico 1.16 in 43.3 seconds.