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The check matrix of a [30,24,5]₅.

The generator matrix of a [30,6,20]₅.

100002311021000320104331134241
000011310210002201033311442413
000101302100021010323114324134
001001021100210103201143341342
010000111102100032011433113424
000000000011111111111111111111

The weight distribution:

A'₀= 1, A'₂₀= 1320, A'₂₁= 800, A'₂₂= 2400, A'₂₃= 2400, A'₂₅= 5304, A'₂₆= 1200, A'₂₇= 1600, A'₂₈= 600.

A₀= 1, A₅= 10704, A₆= 160800, A₇= 2116800, A₈= 24508800, A₉= 240227800, A₁₀= 2016380640, A₁₁= 14662096800, A₁₂= 92876487800, A₁₃= 514355824800, A₁₄= 2498348668800, A₁₅= 10659631322880, A₁₆= 39973288969800, A₁₇= 131677843735800, A₁₈= 380400417422800, A₁₉= 961014439876800, A₂₀= 2114229660249840, A₂₁= 4027104222126800, A₂₂= 6589808826472800, A₂₃= 9168426890644800, A₂₄= 10696500398578800, A₂₅= 10268638991674344, A₂₆= 7898953661020800, A₂₇= 4680861249936800, A₂₈= 2006083429723800, A₂₉= 553402320772800, A₃₀= 73786976377216.

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