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  2  1  2  1  1  1  1  1  2  1  1  2
 0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  0  0  8  0  0  8  8
 0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  8  8  8  8  8  0  0  0  0  0  8  8  8  0  0  8  0  8
 0  0  0  8  0  0  0  0  8  0  0  8  0  8  8  8  0  0  8  8  8  8  8  8  8  8  8  8  0  8  8  0  0  0  8  8  0  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  8  8  0  0  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  0  8  8  0  8  0  0  8  8  8  0  0  8  0
 0  0  0  0  0  0  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  8  8  8  8  8  0  8  8  0  0  8  0  0  8  0  8
 0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0  8  8  0  8  0  8  0  0  8  8  0  0  8  8

generates a code of length 38 over Z16 who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+78x^32+163x^36+1632x^38+66x^40+32x^42+52x^44+23x^48+1x^68

The gray image is a code over GF(2) with n=304, k=11 and d=128.
This code was found by Heurico 1.16 in 0.401 seconds.