The generator matrix

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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+34x^80+178x^81+358x^82+814x^83+919x^84+1518x^85+1479x^86+2146x^87+1657x^88+2152x^89+1463x^90+1482x^91+897x^92+706x^93+257x^94+140x^95+56x^96+40x^97+16x^98+18x^99+15x^100+8x^101+7x^102+2x^103+2x^104+6x^105+2x^106+6x^107+2x^112+1x^114+1x^116+1x^118

The gray image is a code over GF(2) with n=704, k=14 and d=320.
This code was found by Heurico 1.16 in 5.56 seconds.