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  1  1  1  1  1  0  2  2  1  2  4  0  0  4  2  1  4  4  1  0  4  0  4  1  2  1  1  2  4  1  2  2  4  0  0  1  2  2  2  1  1  1
 0  2  0  0  0  0  0  0  0  2  2  6  6  6  0  2  6  0  4  6  6  4  6  2  2  6  2  4  0  2  0  2  2  2  4  0  6  4  0  4  2  2  2  4  2  2  2  4  2  6  0  2  6  0  0  0  2  2  2  6  4  2  2  2  0  0  2  2  6  2  2  0  2  2  2  6  6  4  4  4  0  0  2  6  4  4  0
 0  0  2  0  0  0  2  6  2  2  2  4  2  6  0  0  0  4  2  6  2  0  6  4  2  4  0  2  2  6  2  6  0  4  2  0  2  4  2  4  4  2  6  6  0  0  2  4  6  4  4  4  0  6  6  2  2  0  6  4  4  6  4  4  2  2  2  4  6  0  6  0  4  0  0  2  0  0  2  0  2  6  4  0  0  6  0
 0  0  0  2  0  2  2  6  0  0  2  2  0  2  0  4  6  6  2  0  6  6  0  4  4  0  6  4  0  6  2  2  4  4  2  4  4  4  4  4  2  2  4  4  6  2  6  0  0  0  0  4  4  2  4  4  4  0  2  6  2  4  6  6  4  0  6  0  2  2  4  2  0  6  0  4  2  2  4  4  2  0  0  0  4  2  0
 0  0  0  0  2  2  0  6  2  0  2  2  2  4  4  6  0  6  6  0  2  0  2  6  4  0  4  6  0  4  4  6  6  4  6  4  2  6  2  6  6  2  0  0  6  0  0  0  2  0  2  2  0  0  4  6  6  0  2  2  4  0  6  4  6  6  2  2  6  0  0  4  2  0  2  4  6  2  6  2  6  4  6  0  6  2  0
 0  0  0  0  0  4  0  0  0  4  4  0  4  4  4  4  4  4  0  0  0  4  0  4  4  4  0  4  0  0  0  0  4  0  4  0  0  4  4  4  4  0  4  4  0  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  0  0  0  4  4  0  0  4  4  4  0  0  4  4  0  4  0  0  0  0  0  0  4  4  0  0  0
 0  0  0  0  0  0  4  0  0  0  0  0  4  0  0  0  4  4  4  0  0  0  4  4  4  4  0  4  4  0  4  0  0  0  4  0  0  0  4  4  0  0  4  0  0  4  4  4  4  4  0  0  4  0  4  0  0  0  0  4  4  0  0  4  4  0  4  0  4  0  4  4  4  4  0  4  4  4  4  0  0  0  4  4  4  4  0
 0  0  0  0  0  0  0  4  0  4  0  4  0  0  4  4  4  4  0  0  4  0  4  0  0  0  4  0  4  4  0  4  4  0  4  0  0  0  4  4  4  0  4  0  0  4  4  0  0  4  4  4  0  4  0  0  0  0  4  0  0  0  4  4  4  4  0  4  0  4  4  4  4  0  0  0  0  4  0  4  0  0  4  4  0  4  0
 0  0  0  0  0  0  0  0  4  0  0  0  0  4  0  0  4  4  4  4  4  4  4  4  4  4  0  0  0  4  4  0  4  4  4  4  0  4  4  0  0  0  0  4  4  0  0  4  4  0  0  0  4  4  0  0  0  4  4  4  4  4  4  0  4  0  0  0  0  4  4  0  0  4  0  0  0  0  4  4  4  0  4  0  0  0  0

generates a code of length 87 over Z8 who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+21x^72+82x^73+181x^74+262x^75+368x^76+460x^77+605x^78+744x^79+961x^80+1128x^81+1455x^82+1658x^83+2027x^84+2424x^85+2586x^86+2838x^87+2568x^88+2446x^89+2112x^90+1784x^91+1513x^92+1152x^93+847x^94+632x^95+526x^96+368x^97+328x^98+214x^99+161x^100+124x^101+64x^102+58x^103+41x^104+8x^105+9x^106+2x^107+3x^108+2x^110+2x^112+1x^114+2x^122

The gray image is a code over GF(2) with n=348, k=15 and d=144.
This code was found by Heurico 1.16 in 91 seconds.