The generator matrix

1 0 0 0 0 1 1 1 2 1 1 1 1 0 2 0 1 0 2 0 1 1 2 1 1 2 0 1 1 1 2 1 0 1 2 0 2 2 0 1 1 1 0 1 2 1 0 0 0 2 1 1 1 0 1 1 1 1 1 1 1
0 1 0 0 0 0 0 2 0 0 2 2 0 2 2 0 1 1 1 1 3 3 1 3 1 1 1 1 1 2 1 1 2 0 1 0 1 0 1 2 3 2 1 2 0 0 1 1 0 2 3 2 1 2 0 2 1 0 1 1 0
0 0 1 0 0 0 1 1 1 2 1 3 2 2 1 1 0 1 1 0 0 3 0 0 3 2 3 0 1 2 3 2 1 2 3 2 2 1 1 2 1 0 2 3 1 2 0 3 0 0 2 1 0 2 1 1 2 3 1 2 0
0 0 0 1 0 1 2 3 3 1 1 2 2 1 3 2 3 3 1 1 1 0 1 2 1 0 2 2 2 2 3 0 1 3 0 1 3 1 1 0 0 2 2 3 0 0 3 2 1 1 0 1 2 0 0 0 2 2 1 0 0
0 0 0 0 1 2 0 0 0 1 1 1 3 1 3 3 1 2 3 1 0 3 2 1 3 1 3 0 2 2 2 0 3 1 0 2 0 2 2 0 2 3 2 3 1 2 2 1 3 0 1 2 1 1 3 1 3 0 0 3 0

generates a code of length 61 over Z4 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+34x^54+80x^55+109x^56+98x^57+99x^58+82x^59+57x^60+64x^61+47x^62+48x^63+34x^64+60x^65+44x^66+32x^67+41x^68+20x^69+18x^70+8x^71+12x^72+10x^73+9x^74+6x^75+4x^77+5x^78+2x^84

The gray image is a code over GF(2) with n=122, k=10 and d=54.
This code was found by Heurico 1.10 in 0.047 seconds.