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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+46x^81+89x^82+134x^83+165x^84+256x^85+184x^86+360x^87+416x^88+752x^89+776x^90+1584x^91+2494x^92+2000x^93+2519x^94+1542x^95+797x^96+766x^97+366x^98+334x^99+119x^100+208x^101+112x^102+108x^103+67x^104+52x^105+34x^106+28x^107+24x^108+16x^109+7x^110+6x^111+6x^112+5x^114+6x^116+2x^118+2x^122+1x^136

The gray image is a code over GF(2) with n=744, k=14 and d=324.
This code was found by Heurico 1.16 in 42.5 seconds.