The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 2 2 1 0 2 2 0 1 1 0 1 1 2 1 2 1 0 1 0 0 1 0 0 1 1 1 1 2 1 1 2 1 0 2 2 2 0 1 2 2 1 1 0 1 0 0 0 1 1 1 2 0 3 3 1 2 0 1 1 1 2 3 0 1 1 0 0 3 1 3 2 1 0 1 1 1 1 0 0 2 0 2 0 3 0 3 2 1 1 0 2 3 1 1 2 0 0 0 1 0 1 1 0 1 0 3 3 2 2 1 3 3 2 3 1 0 0 2 2 3 1 3 0 3 2 2 1 2 1 3 0 3 0 3 3 0 0 0 1 0 1 3 2 1 1 1 0 2 1 0 0 0 0 1 1 0 1 1 1 0 1 2 3 1 0 2 3 1 3 1 3 2 2 1 0 2 1 2 1 0 1 0 3 0 0 2 0 0 0 1 1 2 2 2 0 3 0 3 2 3 2 1 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 2 2 0 2 0 0 0 0 2 2 0 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 2 0 0 0 0 0 0 2 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 0 2 2 2 0 2 2 0 2 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 2 0 0 0 0 0 0 2 2 0 0 0 2 2 2 2 2 0 2 2 2 2 0 0 0 2 2 2 2 2 0 2 0 0 0 0 2 0 2 2 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 2 2 0 2 2 2 2 2 0 0 2 2 0 2 0 2 0 0 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 2 2 2 0 2 0 2 0 2 2 0 2 0 generates a code of length 54 over Z4 who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+38x^44+82x^45+128x^46+198x^47+218x^48+234x^49+265x^50+254x^51+280x^52+288x^53+265x^54+248x^55+252x^56+254x^57+215x^58+230x^59+182x^60+132x^61+122x^62+88x^63+41x^64+32x^65+23x^66+4x^67+12x^68+2x^69+5x^70+2x^71+1x^74 The gray image is a code over GF(2) with n=108, k=12 and d=44. This code was found by Heurico 1.16 in 1.81 seconds.