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  2  2  2  2  1  1  2  1  2  4  1  2  1  1  2  2  1  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  0  4  4  4  0  4  0  4  0  4  4  4  0  0  0  4  4  4  0  0  0  4  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  0  0  0  4  4  4  4  4  0  4  0  4  4  4  0  4  4  4  0  4  0  4  0  0  0  0  4  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  0  4  4  4  0  4  0  0  4  4  4  0  4  4  4  0  0  4  0  0  0  0  0  0  0  4  4  0  4  4
 0  0  0  0  4  0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  4  4  0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  4  0  0  4  4  0  4  0  4  0  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  4  0  0  4  4  0  0  0  4  4  0  0  4  4  0  0  4  0  0  0  0  4  4  0  0  4  4  4  0  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  0  0  4  4  0  4  0  4  0  4  0  4  0  4  4  0  0  0  0  4  4  4  4  4  4  4  4  4  0  4  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  4  0  0  4  0  0  4  0  4  4  0  0  4  4  4  0  0  4  4  4  4  0  4  4  0  0  0  0  0  4  0  0  4  4  0  0  4  4
 0  0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  0  0  4  0  0  0  4  4  4  4  0  0  0  4  0  4  0  0  0  4  4  0  0  0  4  4  4  0  4  0  4  0  0  4  0
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  4  4  0  4  0  4  0  4  0  4  4  0  0  4  4  0  0  0  4  4  4  4  0  4  4  4  4  4  4  4  0  4  0

generates a code of length 51 over Z8 who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+48x^40+107x^42+8x^43+97x^44+48x^45+86x^46+128x^47+91x^48+208x^49+1126x^50+240x^51+1113x^52+208x^53+92x^54+128x^55+91x^56+48x^57+61x^58+8x^59+67x^60+46x^62+24x^64+17x^66+3x^68+1x^72+1x^82

The gray image is a code over GF(2) with n=204, k=12 and d=80.
This code was found by Heurico 1.16 in 1.01 seconds.