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

generates a code of length 52 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+37x^34+106x^36+183x^38+262x^40+381x^42+493x^44+64x^45+589x^46+448x^47+723x^48+1344x^49+851x^50+2240x^51+17297x^52+2240x^53+843x^54+1344x^55+751x^56+448x^57+632x^58+64x^59+499x^60+391x^62+232x^64+140x^66+97x^68+42x^70+15x^72+6x^74+4x^76+1x^90

The gray image is a code over GF(2) with n=208, k=15 and d=68.
This code was found by Heurico 1.16 in 49.2 seconds.