The generator matrix

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

generates a code of length 31 over Z4 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+47x^18+162x^20+98x^21+371x^22+238x^23+732x^24+990x^25+1389x^26+1810x^27+2342x^28+3188x^29+3091x^30+3756x^31+3113x^32+3100x^33+2411x^34+1988x^35+1486x^36+778x^37+753x^38+390x^39+308x^40+38x^41+119x^42+10x^43+42x^44+9x^46+6x^48+2x^50

The gray image is a code over GF(2) with n=62, k=15 and d=18.
This code was found by Heurico 1.16 in 29.9 seconds.