The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+162x^40+32x^41+430x^42+464x^43+1366x^44+1540x^45+2678x^46+3812x^47+5009x^48+6384x^49+6662x^50+8048x^51+6907x^52+6872x^53+4892x^54+3640x^55+2878x^56+1488x^57+1146x^58+416x^59+476x^60+68x^61+62x^62+4x^63+76x^64+2x^66+19x^68+2x^72

The gray image is a code over GF(2) with n=204, k=16 and d=80.
This code was found by Heurico 1.16 in 95.5 seconds.