The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  2 12 12  1 12  2  2  1  4  1  1 12  1  1  1  1  2 12  0  2  4  1  1  2  1  1  1  2
 0  2  0  2  0  0  6  6  4 14  2  4 12 14  2 12 12  2  0 10  6  0  0  4 12 10  6  2  2  2  8 12 14  2  2  6  8  2  8  0  0  8  8  8  8  6  2  4 14 14 14 12 14  6
 0  0  2  2 12  6  6  0  4  4 14  2  0  2 12 14 10 10  0  8  6  6  2 12  6 14  0  8 14  8  2  6 12  4  2 12  0  6  8  4  6  4  2  2  2 14 10 12  4  2  8  4  4  8
 0  0  0  8  0  0  0  0  0  0  8  8  8  8  8  0  8  8  8  0  0  0  0  0  8  0  8  0  8  8  0  0  8  0  8  0  8  0  8  8  0  0  0  8  0  8  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  0  0  0  8  8  0  8  8  0  8  0  8  0  0  8  0  0  0  0  8  8  8  0
 0  0  0  0  0  8  0  0  0  8  8  8  0  8  8  0  0  0  0  0  8  8  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  8  8  0  0  0  0  8  0  0  8  8  8  0
 0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  0  8  0  8  8  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  0  0  8  8  0  0  0  8  8  0  0  8  8  8  0  0
 0  0  0  0  0  0  0  8  8  0  8  8  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  8  0  8  8  0  8  0  8  0  0  0  0  0  0  8  8  0  8  0  8  8  8  8  8  0  0

generates a code of length 54 over Z16 who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+48x^45+141x^46+376x^47+542x^48+1026x^49+1610x^50+2318x^51+3737x^52+3922x^53+5364x^54+3930x^55+3876x^56+2358x^57+1438x^58+966x^59+502x^60+294x^61+133x^62+86x^63+33x^64+32x^65+14x^66+4x^67+9x^68+2x^70+4x^72+2x^74

The gray image is a code over GF(2) with n=432, k=15 and d=180.
This code was found by Heurico 1.16 in 23.4 seconds.