The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 0 1 0 0 2 2 1 2 0 0 2 1 1 1 1 2 1 1 2 1 0 1 1 1 0 1 1 1 1 2 0 1 1 1 2 1 1 2 1 0 0 1 1 2 2 1 1 0 1 1 1 2 2 1 2 0 1 0 0 0 1 1 1 0 0 3 3 1 2 1 3 1 0 2 0 0 1 1 1 1 0 1 1 0 0 2 1 2 1 2 1 0 2 1 0 0 1 3 2 2 2 2 2 1 2 1 1 2 2 1 0 1 1 1 3 0 0 3 0 0 1 1 3 0 0 0 1 0 1 1 0 1 0 1 1 2 0 1 3 2 1 1 1 0 0 0 3 0 1 0 1 2 1 0 3 3 1 0 2 2 1 2 0 1 0 0 1 1 1 3 2 3 2 0 0 1 0 1 1 0 2 1 2 1 3 1 0 3 2 2 2 0 1 0 0 0 1 1 0 1 1 1 0 1 2 1 3 0 2 1 3 0 1 1 2 1 1 2 0 3 1 1 1 3 2 0 1 1 3 2 2 1 0 1 0 2 1 2 3 0 1 0 2 0 2 1 1 0 3 3 1 0 1 3 0 0 1 1 2 0 1 3 0 0 0 0 2 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 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 0 2 2 0 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 0 2 2 2 2 0 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 2 0 2 0 2 0 0 0 2 2 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 0 0 2 2 2 2 2 2 2 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 0 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 2 2 2 2 0 0 2 2 2 0 0 0 0 0 2 2 0 2 0 2 2 0 2 0 0 0 0 2 0 2 2 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 2 0 2 2 2 2 0 2 2 2 0 2 0 0 2 0 0 2 0 0 2 0 0 0 2 0 0 2 2 2 0 2 2 0 2 0 0 0 2 2 2 2 2 2 0 2 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 0 2 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 0 0 0 0 0 0 2 0 0 2 2 0 2 0 0 0 2 0 0 0 0 0 0 0 generates a code of length 69 over Z4 who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+181x^56+432x^58+968x^60+1124x^62+1661x^64+1760x^66+2043x^68+1970x^70+2067x^72+1564x^74+1206x^76+688x^78+479x^80+128x^82+84x^84+10x^86+8x^88+4x^90+2x^92+3x^96+1x^100 The gray image is a code over GF(2) with n=138, k=14 and d=56. This code was found by Heurico 1.16 in 77.2 seconds.