The generator matrix

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

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+89x^24+136x^25+315x^26+508x^27+821x^28+1198x^29+1693x^30+2208x^31+2274x^32+2306x^33+1799x^34+1260x^35+853x^36+434x^37+271x^38+120x^39+55x^40+22x^41+18x^42+2x^44+1x^56

The gray image is a code over GF(2) with n=128, k=14 and d=48.
This code was found by Heurico 1.16 in 5.51 seconds.