The generator matrix

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

generates a code of length 60 over Z8 who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+30x^39+48x^40+124x^41+191x^42+288x^43+331x^44+448x^45+690x^46+706x^47+801x^48+918x^49+964x^50+932x^51+1078x^52+1260x^53+1646x^54+2130x^55+2956x^56+4082x^57+4843x^58+5484x^59+5511x^60+5540x^61+4993x^62+3968x^63+3112x^64+2200x^65+1602x^66+1136x^67+954x^68+970x^69+971x^70+918x^71+817x^72+700x^73+679x^74+550x^75+342x^76+238x^77+171x^78+112x^79+40x^80+32x^81+16x^82+2x^83+8x^84+1x^86+1x^88+1x^90

The gray image is a code over GF(2) with n=240, k=16 and d=78.
This code was found by Heurico 1.16 in 98.1 seconds.