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 2 2 2 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 6 6 6 2 4 2 4 6 6 0 4 0 2 0 4 4 2 2 2 4 4 2 6 4 0 0 0 2 0 0 0 0 0 0 0 0 2 0 2 6 2 6 4 2 4 2 4 0 2 2 2 4 2 0 2 6 6 0 4 6 6 2 0 0 0 2 0 0 0 2 6 2 4 2 6 0 2 0 4 0 2 4 2 6 4 0 2 6 0 4 4 0 2 4 0 6 6 6 0 0 0 0 0 2 0 2 2 2 4 6 0 4 2 6 6 0 0 0 6 4 6 2 6 4 6 4 6 6 0 4 4 2 2 4 6 4 0 0 0 0 0 2 2 4 6 2 0 0 0 4 4 2 6 2 6 2 4 4 6 6 6 0 4 6 4 0 6 6 0 6 0 2 6 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 0 4 4 0 generates a code of length 37 over Z8 who´s minimum homogenous weight is 28. Homogenous weight enumerator: w(x)=1x^0+188x^28+536x^30+841x^32+32x^33+1594x^34+896x^35+3058x^36+2240x^37+2850x^38+896x^39+1672x^40+32x^41+854x^42+482x^44+174x^46+29x^48+8x^50+1x^64 The gray image is a code over GF(2) with n=148, k=14 and d=56. This code was found by Heurico 1.16 in 7.44 seconds.