The generator matrix

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

generates a code of length 62 over Z4 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+65x^48+140x^49+316x^50+394x^51+559x^52+810x^53+959x^54+1058x^55+1272x^56+1556x^57+1761x^58+1972x^59+2033x^60+2170x^61+2228x^62+2420x^63+2185x^64+1952x^65+1912x^66+1522x^67+1366x^68+1198x^69+883x^70+676x^71+496x^72+308x^73+229x^74+128x^75+81x^76+46x^77+26x^78+20x^79+5x^80+12x^81+6x^82+1x^84+2x^87

The gray image is a code over GF(2) with n=124, k=15 and d=48.
This code was found by Heurico 1.10 in 98.4 seconds.