The generator matrix

 1  0  0  1  1  1  2  1  1  1  6  1  4  0  1  2  4  1  1  1  2  1  1  1  6  6  4  1  1  4  1  0  4  1  0  1  4  1  1  0  0  1  1  0  1  1  1  1  1  1  1  1  2  2
 0  1  0  2  1  3  1  0  1  6  4  7  1  1  1  2  1  3  4  6  1  5  2  7  1  1  2  2  0  1  2  1  6  4  1  0  1  6  4  1  4  1  5  1  6  5  3  1  5  7  7  5  1  0
 0  0  1  1  3  6  1  6  1  3  1  4  2  3  2  1  1  3  1  0  2  0  2  1  3  0  1  6  3  1  1  0  1  3  1  4  4  0  6  7  1  4  2  2  3  2  5  1  7  5  6  2  2  4
 0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  0  4  4  0  0  0  0  4  0  4  4  4  4  4  4  0  4  4  0  4  0  0  4  4  4  4  4  0  4  0  4  4  4  0  0  4  0  0  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  0  4  4  0  4  4  0  0  0  4  0  4  4  0  0  4  0  4  4  4  0  4  4  4  0  4  0  0  0  0  0  4  4
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  0  0  0  0  0  0  4  4  4  0  0  0  4  4  4  4  4  4  0  4  0  4  0  0  4  0  4  0  4  4  4  0  0  0  4  4  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  0  4  0  0  4  0  0  4  4  4  0  0  4  0  4  0  0  4  0  0  4  4  4  0  4  4  4  4  0  0  0  4  4  4  0  0  4  4  0  4  0  0
 0  0  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  0  4  4  4  0  0  0  0  4  0  0  0  4  0  0  4  0  4  0  4  4  0  0  4  4  4  4  0  4  0  4  4  4  0  0  0  0
 0  0  0  0  0  0  0  0  4  0  0  4  0  0  0  4  4  4  4  0  0  4  4  0  4  4  0  0  4  0  4  4  0  4  4  4  4  0  0  0  0  4  4  4  4  0  4  4  4  4  4  0  0  0

generates a code of length 54 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+162x^44+72x^45+490x^46+424x^47+1294x^48+1064x^49+2480x^50+1852x^51+3684x^52+2664x^53+4212x^54+2808x^55+3880x^56+1960x^57+2368x^58+960x^59+1274x^60+368x^61+402x^62+96x^63+165x^64+16x^65+32x^66+4x^67+32x^68+4x^72

The gray image is a code over GF(2) with n=216, k=15 and d=88.
This code was found by Heurico 1.16 in 28.2 seconds.