The generator matrix

 1  0  0  0  1  1  1  X  1  1  1  1  0 X^3  X  1  1  1  1  1  1  1  1 X^3+X^2  X X^2  0 X^3 X^3+X^2+X  1
 0  1  0  0  X X^3+1 X^2+1  1  X X^3+X^2+X+1 X+1 X^3  1  1 X^2+X X^3+1 X^3+X+1 X^2+X X^3+X^2+X X^2 X^3+X+1 X^3+1 X^3+X  1  0 X^2+X X^3  1  1 X^3
 0  0  1  0 X+1  1 X^2 X+1 X^3+X X^3  1 X+1  1 X^2  1 X^2+X+1  X X^3+X^2+1 X^3 X^2+X X^3+X^2+X X^3+X^2+X+1 X^3+1  0  1  1  1  X X^2  0
 0  0  0  1  1 X^2 X^2+X+1  1 X+1 X^3+X^2+X X^2+X+1  X X^2+X X^3+1 X^2+1 X^2+X+1 X^3 X^3+X^2+1  X X+1 X^3+X+1  0 X^3+X^2 X^3+X^2+1  0  1  0 X^3+X+1 X^3+X^2  0
 0  0  0  0 X^2  0  0  0  0  0 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^2 X^2 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2

generates a code of length 30 over Z2[X]/(X^4) who´s minimum homogenous weight is 23.

Homogenous weight enumerator: w(x)=1x^0+112x^23+633x^24+2178x^25+6520x^26+15040x^27+31000x^28+46148x^29+57937x^30+46932x^31+31866x^32+14898x^33+6074x^34+1984x^35+562x^36+184x^37+61x^38+12x^39+2x^40

The gray image is a linear code over GF(2) with n=240, k=18 and d=92.
This code was found by Heurico 1.16 in 190 seconds.