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

generates a code of length 61 over Z8 who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+69x^44+50x^46+215x^48+136x^50+311x^52+16x^53+237x^54+128x^55+347x^56+448x^57+312x^58+896x^59+369x^60+9312x^61+350x^62+896x^63+324x^64+448x^65+411x^66+128x^67+229x^68+16x^69+278x^70+129x^72+182x^74+46x^76+76x^78+8x^80+13x^82+1x^86+1x^90+1x^106

The gray image is a code over GF(2) with n=244, k=14 and d=88.
This code was found by Heurico 1.16 in 18.4 seconds.